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Simplifying -1(8x + -4) + -1(6x + -8) + 7 = -9(x + -5) + -1(7x + 2) + 16 Reorder the terms: -1(-4 + 8x) + -1(6x + -8) + 7 = -9(x + -5) + -1(7x + 2) + 16 (-4 * -1 + 8x * -1) + -1(6x + -8) + 7 = -9(x + -5) + -1(7x + 2) + 16 (4 + -8x) + -1(6x + -8) + 7 = -9(x + -5) + -1(7x + 2) + 16 Reorder the terms: 4 + -8x + -1(-8 + 6x) + 7 = -9(x + -5) + -1(7x + 2) + 16 4 + -8x + (-8 * -1 + 6x * -1) + 7 = -9(x + -5) + -1(7x + 2) + 16 4 + -8x + (8 + -6x) + 7 = -9(x + -5) + -1(7x + 2) + 16 Reorder the terms: 4 + 8 + 7 + -8x + -6x = -9(x + -5) + -1(7x + 2) + 16 Combine like terms: 4 + 8 = 12 12 + 7 + -8x + -6x = -9(x + -5) + -1(7x + 2) + 16 Combine like terms: 12 + 7 = 19 19 + -8x + -6x = -9(x + -5) + -1(7x + 2) + 16 Combine like terms: -8x + -6x = -14x 19 + -14x = -9(x + -5) + -1(7x + 2) + 16 Reorder the terms: 19 + -14x = -9(-5 + x) + -1(7x + 2) + 16 19 + -14x = (-5 * -9 + x * -9) + -1(7x + 2) + 16 19 + -14x = (45 + -9x) + -1(7x + 2) + 16 Reorder the terms: 19 + -14x = 45 + -9x + -1(2 + 7x) + 16 19 + -14x = 45 + -9x + (2 * -1 + 7x * -1) + 16 19 + -14x = 45 + -9x + (-2 + -7x) + 16 Reorder the terms: 19 + -14x = 45 + -2 + 16 + -9x + -7x Combine like terms: 45 + -2 = 43 19 + -14x = 43 + 16 + -9x + -7x Combine like terms: 43 + 16 = 59 19 + -14x = 59 + -9x + -7x Combine like terms: -9x + -7x = -16x 19 + -14x = 59 + -16x Solving 19 + -14x = 59 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 19 + -14x + 16x = 59 + -16x + 16x Combine like terms: -14x + 16x = 2x 19 + 2x = 59 + -16x + 16x Combine like terms: -16x + 16x = 0 19 + 2x = 59 + 0 19 + 2x = 59 Add '-19' to each side of the equation. 19 + -19 + 2x = 59 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = 59 + -19 2x = 59 + -19 Combine like terms: 59 + -19 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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