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Simplifying 4(32 + -1x) = 1(76 + -3x) (32 * 4 + -1x * 4) = 1(76 + -3x) (128 + -4x) = 1(76 + -3x) 128 + -4x = (76 * 1 + -3x * 1) 128 + -4x = (76 + -3x) Solving 128 + -4x = 76 + -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. 128 + -4x + 3x = 76 + -3x + 3x Combine like terms: -4x + 3x = -1x 128 + -1x = 76 + -3x + 3x Combine like terms: -3x + 3x = 0 128 + -1x = 76 + 0 128 + -1x = 76 Add '-128' to each side of the equation. 128 + -128 + -1x = 76 + -128 Combine like terms: 128 + -128 = 0 0 + -1x = 76 + -128 -1x = 76 + -128 Combine like terms: 76 + -128 = -52 -1x = -52 Divide each side by '-1'. x = 52 Simplifying x = 52
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