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