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Simplifying -1(2x + -5) + -1(7x + -5) + 2 = -8(x + -1) + -1(6x + 9) + 3 Reorder the terms: -1(-5 + 2x) + -1(7x + -5) + 2 = -8(x + -1) + -1(6x + 9) + 3 (-5 * -1 + 2x * -1) + -1(7x + -5) + 2 = -8(x + -1) + -1(6x + 9) + 3 (5 + -2x) + -1(7x + -5) + 2 = -8(x + -1) + -1(6x + 9) + 3 Reorder the terms: 5 + -2x + -1(-5 + 7x) + 2 = -8(x + -1) + -1(6x + 9) + 3 5 + -2x + (-5 * -1 + 7x * -1) + 2 = -8(x + -1) + -1(6x + 9) + 3 5 + -2x + (5 + -7x) + 2 = -8(x + -1) + -1(6x + 9) + 3 Reorder the terms: 5 + 5 + 2 + -2x + -7x = -8(x + -1) + -1(6x + 9) + 3 Combine like terms: 5 + 5 = 10 10 + 2 + -2x + -7x = -8(x + -1) + -1(6x + 9) + 3 Combine like terms: 10 + 2 = 12 12 + -2x + -7x = -8(x + -1) + -1(6x + 9) + 3 Combine like terms: -2x + -7x = -9x 12 + -9x = -8(x + -1) + -1(6x + 9) + 3 Reorder the terms: 12 + -9x = -8(-1 + x) + -1(6x + 9) + 3 12 + -9x = (-1 * -8 + x * -8) + -1(6x + 9) + 3 12 + -9x = (8 + -8x) + -1(6x + 9) + 3 Reorder the terms: 12 + -9x = 8 + -8x + -1(9 + 6x) + 3 12 + -9x = 8 + -8x + (9 * -1 + 6x * -1) + 3 12 + -9x = 8 + -8x + (-9 + -6x) + 3 Reorder the terms: 12 + -9x = 8 + -9 + 3 + -8x + -6x Combine like terms: 8 + -9 = -1 12 + -9x = -1 + 3 + -8x + -6x Combine like terms: -1 + 3 = 2 12 + -9x = 2 + -8x + -6x Combine like terms: -8x + -6x = -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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