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