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Simplifying 2(x + -5) + 8 + -1(3x + 2) = -2(x + 3) Reorder the terms: 2(-5 + x) + 8 + -1(3x + 2) = -2(x + 3) (-5 * 2 + x * 2) + 8 + -1(3x + 2) = -2(x + 3) (-10 + 2x) + 8 + -1(3x + 2) = -2(x + 3) Reorder the terms: -10 + 2x + 8 + -1(2 + 3x) = -2(x + 3) -10 + 2x + 8 + (2 * -1 + 3x * -1) = -2(x + 3) -10 + 2x + 8 + (-2 + -3x) = -2(x + 3) Reorder the terms: -10 + 8 + -2 + 2x + -3x = -2(x + 3) Combine like terms: -10 + 8 = -2 -2 + -2 + 2x + -3x = -2(x + 3) Combine like terms: -2 + -2 = -4 -4 + 2x + -3x = -2(x + 3) Combine like terms: 2x + -3x = -1x -4 + -1x = -2(x + 3) Reorder the terms: -4 + -1x = -2(3 + x) -4 + -1x = (3 * -2 + x * -2) -4 + -1x = (-6 + -2x) Solving -4 + -1x = -6 + -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. -4 + -1x + 2x = -6 + -2x + 2x Combine like terms: -1x + 2x = 1x -4 + 1x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + 1x = -6 + 0 -4 + 1x = -6 Add '4' to each side of the equation. -4 + 4 + 1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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