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Simplifying (x + -7) * 2 + -1(1 + x) * 2 = 2(3x + -4) Reorder the terms: (-7 + x) * 2 + -1(1 + x) * 2 = 2(3x + -4) Reorder the terms for easier multiplication: 2(-7 + x) + -1(1 + x) * 2 = 2(3x + -4) (-7 * 2 + x * 2) + -1(1 + x) * 2 = 2(3x + -4) (-14 + 2x) + -1(1 + x) * 2 = 2(3x + -4) Reorder the terms for easier multiplication: -14 + 2x + -1 * 2(1 + x) = 2(3x + -4) Multiply -1 * 2 -14 + 2x + -2(1 + x) = 2(3x + -4) -14 + 2x + (1 * -2 + x * -2) = 2(3x + -4) -14 + 2x + (-2 + -2x) = 2(3x + -4) Reorder the terms: -14 + -2 + 2x + -2x = 2(3x + -4) Combine like terms: -14 + -2 = -16 -16 + 2x + -2x = 2(3x + -4) Combine like terms: 2x + -2x = 0 -16 + 0 = 2(3x + -4) -16 = 2(3x + -4) Reorder the terms: -16 = 2(-4 + 3x) -16 = (-4 * 2 + 3x * 2) -16 = (-8 + 6x) Solving -16 = -8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + -6x = -8 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -6x = -8 + 0 -16 + -6x = -8 Add '16' to each side of the equation. -16 + 16 + -6x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = -8 + 16 -6x = -8 + 16 Combine like terms: -8 + 16 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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