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