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Simplifying -4(x + 2) + 2(3x + -5) = 12x + -5(1 + -1x) + 2 Reorder the terms: -4(2 + x) + 2(3x + -5) = 12x + -5(1 + -1x) + 2 (2 * -4 + x * -4) + 2(3x + -5) = 12x + -5(1 + -1x) + 2 (-8 + -4x) + 2(3x + -5) = 12x + -5(1 + -1x) + 2 Reorder the terms: -8 + -4x + 2(-5 + 3x) = 12x + -5(1 + -1x) + 2 -8 + -4x + (-5 * 2 + 3x * 2) = 12x + -5(1 + -1x) + 2 -8 + -4x + (-10 + 6x) = 12x + -5(1 + -1x) + 2 Reorder the terms: -8 + -10 + -4x + 6x = 12x + -5(1 + -1x) + 2 Combine like terms: -8 + -10 = -18 -18 + -4x + 6x = 12x + -5(1 + -1x) + 2 Combine like terms: -4x + 6x = 2x -18 + 2x = 12x + -5(1 + -1x) + 2 -18 + 2x = 12x + (1 * -5 + -1x * -5) + 2 -18 + 2x = 12x + (-5 + 5x) + 2 Reorder the terms: -18 + 2x = -5 + 2 + 12x + 5x Combine like terms: -5 + 2 = -3 -18 + 2x = -3 + 12x + 5x Combine like terms: 12x + 5x = 17x -18 + 2x = -3 + 17x Solving -18 + 2x = -3 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -18 + 2x + -17x = -3 + 17x + -17x Combine like terms: 2x + -17x = -15x -18 + -15x = -3 + 17x + -17x Combine like terms: 17x + -17x = 0 -18 + -15x = -3 + 0 -18 + -15x = -3 Add '18' to each side of the equation. -18 + 18 + -15x = -3 + 18 Combine like terms: -18 + 18 = 0 0 + -15x = -3 + 18 -15x = -3 + 18 Combine like terms: -3 + 18 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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