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Simplifying -1(2x + -5) + -1(7x + -5) + 2 = -8x(z + 1) + -1(6x + 9) + 3 Reorder the terms: -1(-5 + 2x) + -1(7x + -5) + 2 = -8x(z + 1) + -1(6x + 9) + 3 (-5 * -1 + 2x * -1) + -1(7x + -5) + 2 = -8x(z + 1) + -1(6x + 9) + 3 (5 + -2x) + -1(7x + -5) + 2 = -8x(z + 1) + -1(6x + 9) + 3 Reorder the terms: 5 + -2x + -1(-5 + 7x) + 2 = -8x(z + 1) + -1(6x + 9) + 3 5 + -2x + (-5 * -1 + 7x * -1) + 2 = -8x(z + 1) + -1(6x + 9) + 3 5 + -2x + (5 + -7x) + 2 = -8x(z + 1) + -1(6x + 9) + 3 Reorder the terms: 5 + 5 + 2 + -2x + -7x = -8x(z + 1) + -1(6x + 9) + 3 Combine like terms: 5 + 5 = 10 10 + 2 + -2x + -7x = -8x(z + 1) + -1(6x + 9) + 3 Combine like terms: 10 + 2 = 12 12 + -2x + -7x = -8x(z + 1) + -1(6x + 9) + 3 Combine like terms: -2x + -7x = -9x 12 + -9x = -8x(z + 1) + -1(6x + 9) + 3 Reorder the terms: 12 + -9x = -8x(1 + z) + -1(6x + 9) + 3 12 + -9x = (1 * -8x + z * -8x) + -1(6x + 9) + 3 12 + -9x = (-8x + -8xz) + -1(6x + 9) + 3 Reorder the terms: 12 + -9x = -8x + -8xz + -1(9 + 6x) + 3 12 + -9x = -8x + -8xz + (9 * -1 + 6x * -1) + 3 12 + -9x = -8x + -8xz + (-9 + -6x) + 3 Reorder the terms: 12 + -9x = -9 + 3 + -8x + -6x + -8xz Combine like terms: -9 + 3 = -6 12 + -9x = -6 + -8x + -6x + -8xz Combine like terms: -8x + -6x = -14x 12 + -9x = -6 + -14x + -8xz Solving 12 + -9x = -6 + -14x + -8xz Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 12 + -9x + 14x = -6 + -14x + 14x + -8xz Combine like terms: -9x + 14x = 5x 12 + 5x = -6 + -14x + 14x + -8xz Combine like terms: -14x + 14x = 0 12 + 5x = -6 + 0 + -8xz 12 + 5x = -6 + -8xz Add '8xz' to each side of the equation. 12 + 5x + 8xz = -6 + -8xz + 8xz Combine like terms: -8xz + 8xz = 0 12 + 5x + 8xz = -6 + 0 12 + 5x + 8xz = -6 Add '-12' to each side of the equation. 12 + 5x + -12 + 8xz = -6 + -12 Reorder the terms: 12 + -12 + 5x + 8xz = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 5x + 8xz = -6 + -12 5x + 8xz = -6 + -12 Combine like terms: -6 + -12 = -18 5x + 8xz = -18 Reorder the terms: 18 + 5x + 8xz = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 5x + 8xz = 0 The solution to this equation could not be determined.
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