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Simplifying -1(5x + -2) + -1(2x + -3) + 9 = -4(x + -6) + -1(6x + 6) + 2 Reorder the terms: -1(-2 + 5x) + -1(2x + -3) + 9 = -4(x + -6) + -1(6x + 6) + 2 (-2 * -1 + 5x * -1) + -1(2x + -3) + 9 = -4(x + -6) + -1(6x + 6) + 2 (2 + -5x) + -1(2x + -3) + 9 = -4(x + -6) + -1(6x + 6) + 2 Reorder the terms: 2 + -5x + -1(-3 + 2x) + 9 = -4(x + -6) + -1(6x + 6) + 2 2 + -5x + (-3 * -1 + 2x * -1) + 9 = -4(x + -6) + -1(6x + 6) + 2 2 + -5x + (3 + -2x) + 9 = -4(x + -6) + -1(6x + 6) + 2 Reorder the terms: 2 + 3 + 9 + -5x + -2x = -4(x + -6) + -1(6x + 6) + 2 Combine like terms: 2 + 3 = 5 5 + 9 + -5x + -2x = -4(x + -6) + -1(6x + 6) + 2 Combine like terms: 5 + 9 = 14 14 + -5x + -2x = -4(x + -6) + -1(6x + 6) + 2 Combine like terms: -5x + -2x = -7x 14 + -7x = -4(x + -6) + -1(6x + 6) + 2 Reorder the terms: 14 + -7x = -4(-6 + x) + -1(6x + 6) + 2 14 + -7x = (-6 * -4 + x * -4) + -1(6x + 6) + 2 14 + -7x = (24 + -4x) + -1(6x + 6) + 2 Reorder the terms: 14 + -7x = 24 + -4x + -1(6 + 6x) + 2 14 + -7x = 24 + -4x + (6 * -1 + 6x * -1) + 2 14 + -7x = 24 + -4x + (-6 + -6x) + 2 Reorder the terms: 14 + -7x = 24 + -6 + 2 + -4x + -6x Combine like terms: 24 + -6 = 18 14 + -7x = 18 + 2 + -4x + -6x Combine like terms: 18 + 2 = 20 14 + -7x = 20 + -4x + -6x Combine like terms: -4x + -6x = -10x 14 + -7x = 20 + -10x Solving 14 + -7x = 20 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + -7x + 10x = 20 + -10x + 10x Combine like terms: -7x + 10x = 3x 14 + 3x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 3x = 20 + 0 14 + 3x = 20 Add '-14' to each side of the equation. 14 + -14 + 3x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 20 + -14 3x = 20 + -14 Combine like terms: 20 + -14 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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