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Simplifying -1(4x + -3) + -1(5x + -6) + 3 = -6(x + -1) + -1(8x + 7) + 3 Reorder the terms: -1(-3 + 4x) + -1(5x + -6) + 3 = -6(x + -1) + -1(8x + 7) + 3 (-3 * -1 + 4x * -1) + -1(5x + -6) + 3 = -6(x + -1) + -1(8x + 7) + 3 (3 + -4x) + -1(5x + -6) + 3 = -6(x + -1) + -1(8x + 7) + 3 Reorder the terms: 3 + -4x + -1(-6 + 5x) + 3 = -6(x + -1) + -1(8x + 7) + 3 3 + -4x + (-6 * -1 + 5x * -1) + 3 = -6(x + -1) + -1(8x + 7) + 3 3 + -4x + (6 + -5x) + 3 = -6(x + -1) + -1(8x + 7) + 3 Reorder the terms: 3 + 6 + 3 + -4x + -5x = -6(x + -1) + -1(8x + 7) + 3 Combine like terms: 3 + 6 = 9 9 + 3 + -4x + -5x = -6(x + -1) + -1(8x + 7) + 3 Combine like terms: 9 + 3 = 12 12 + -4x + -5x = -6(x + -1) + -1(8x + 7) + 3 Combine like terms: -4x + -5x = -9x 12 + -9x = -6(x + -1) + -1(8x + 7) + 3 Reorder the terms: 12 + -9x = -6(-1 + x) + -1(8x + 7) + 3 12 + -9x = (-1 * -6 + x * -6) + -1(8x + 7) + 3 12 + -9x = (6 + -6x) + -1(8x + 7) + 3 Reorder the terms: 12 + -9x = 6 + -6x + -1(7 + 8x) + 3 12 + -9x = 6 + -6x + (7 * -1 + 8x * -1) + 3 12 + -9x = 6 + -6x + (-7 + -8x) + 3 Reorder the terms: 12 + -9x = 6 + -7 + 3 + -6x + -8x Combine like terms: 6 + -7 = -1 12 + -9x = -1 + 3 + -6x + -8x Combine like terms: -1 + 3 = 2 12 + -9x = 2 + -6x + -8x Combine like terms: -6x + -8x = -14x 12 + -9x = 2 + -14x Solving 12 + -9x = 2 + -14x 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 = 2 + -14x + 14x Combine like terms: -9x + 14x = 5x 12 + 5x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 12 + 5x = 2 + 0 12 + 5x = 2 Add '-12' to each side of the equation. 12 + -12 + 5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 2 + -12 5x = 2 + -12 Combine like terms: 2 + -12 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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