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Simplifying (-3x + 8) + 2(x + 10) = 3w + -32 Reorder the terms: (8 + -3x) + 2(x + 10) = 3w + -32 Remove parenthesis around (8 + -3x) 8 + -3x + 2(x + 10) = 3w + -32 Reorder the terms: 8 + -3x + 2(10 + x) = 3w + -32 8 + -3x + (10 * 2 + x * 2) = 3w + -32 8 + -3x + (20 + 2x) = 3w + -32 Reorder the terms: 8 + 20 + -3x + 2x = 3w + -32 Combine like terms: 8 + 20 = 28 28 + -3x + 2x = 3w + -32 Combine like terms: -3x + 2x = -1x 28 + -1x = 3w + -32 Reorder the terms: 28 + -1x = -32 + 3w Solving 28 + -1x = -32 + 3w Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = -32 + -28 + 3w Combine like terms: 28 + -28 = 0 0 + -1x = -32 + -28 + 3w -1x = -32 + -28 + 3w Combine like terms: -32 + -28 = -60 -1x = -60 + 3w Divide each side by '-1'. x = 60 + -3w Simplifying x = 60 + -3w
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