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Simplifying 2(x + -8) + -3(x + 2) = 32 Reorder the terms: 2(-8 + x) + -3(x + 2) = 32 (-8 * 2 + x * 2) + -3(x + 2) = 32 (-16 + 2x) + -3(x + 2) = 32 Reorder the terms: -16 + 2x + -3(2 + x) = 32 -16 + 2x + (2 * -3 + x * -3) = 32 -16 + 2x + (-6 + -3x) = 32 Reorder the terms: -16 + -6 + 2x + -3x = 32 Combine like terms: -16 + -6 = -22 -22 + 2x + -3x = 32 Combine like terms: 2x + -3x = -1x -22 + -1x = 32 Solving -22 + -1x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 32 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 32 + 22 -1x = 32 + 22 Combine like terms: 32 + 22 = 54 -1x = 54 Divide each side by '-1'. x = -54 Simplifying x = -54
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