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Simplifying -2(1 + 3x) + 2(-7 + -2x) = 2(5x + 7) (1 * -2 + 3x * -2) + 2(-7 + -2x) = 2(5x + 7) (-2 + -6x) + 2(-7 + -2x) = 2(5x + 7) -2 + -6x + (-7 * 2 + -2x * 2) = 2(5x + 7) -2 + -6x + (-14 + -4x) = 2(5x + 7) Reorder the terms: -2 + -14 + -6x + -4x = 2(5x + 7) Combine like terms: -2 + -14 = -16 -16 + -6x + -4x = 2(5x + 7) Combine like terms: -6x + -4x = -10x -16 + -10x = 2(5x + 7) Reorder the terms: -16 + -10x = 2(7 + 5x) -16 + -10x = (7 * 2 + 5x * 2) -16 + -10x = (14 + 10x) Solving -16 + -10x = 14 + 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. -16 + -10x + -10x = 14 + 10x + -10x Combine like terms: -10x + -10x = -20x -16 + -20x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + -20x = 14 + 0 -16 + -20x = 14 Add '16' to each side of the equation. -16 + 16 + -20x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -20x = 14 + 16 -20x = 14 + 16 Combine like terms: 14 + 16 = 30 -20x = 30 Divide each side by '-20'. x = -1.5 Simplifying x = -1.5
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