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Simplifying -1(x + 2) + 2(x + -3) = -2(x + -7) Reorder the terms: -1(2 + x) + 2(x + -3) = -2(x + -7) (2 * -1 + x * -1) + 2(x + -3) = -2(x + -7) (-2 + -1x) + 2(x + -3) = -2(x + -7) Reorder the terms: -2 + -1x + 2(-3 + x) = -2(x + -7) -2 + -1x + (-3 * 2 + x * 2) = -2(x + -7) -2 + -1x + (-6 + 2x) = -2(x + -7) Reorder the terms: -2 + -6 + -1x + 2x = -2(x + -7) Combine like terms: -2 + -6 = -8 -8 + -1x + 2x = -2(x + -7) Combine like terms: -1x + 2x = 1x -8 + 1x = -2(x + -7) Reorder the terms: -8 + 1x = -2(-7 + x) -8 + 1x = (-7 * -2 + x * -2) -8 + 1x = (14 + -2x) Solving -8 + 1x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -8 + 1x + 2x = 14 + -2x + 2x Combine like terms: 1x + 2x = 3x -8 + 3x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 3x = 14 + 0 -8 + 3x = 14 Add '8' to each side of the equation. -8 + 8 + 3x = 14 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 14 + 8 3x = 14 + 8 Combine like terms: 14 + 8 = 22 3x = 22 Divide each side by '3'. x = 7.333333333 Simplifying x = 7.333333333
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