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Simplifying 5(40x + -7) + 40 = 10(32x + 12) + -5 Reorder the terms: 5(-7 + 40x) + 40 = 10(32x + 12) + -5 (-7 * 5 + 40x * 5) + 40 = 10(32x + 12) + -5 (-35 + 200x) + 40 = 10(32x + 12) + -5 Reorder the terms: -35 + 40 + 200x = 10(32x + 12) + -5 Combine like terms: -35 + 40 = 5 5 + 200x = 10(32x + 12) + -5 Reorder the terms: 5 + 200x = 10(12 + 32x) + -5 5 + 200x = (12 * 10 + 32x * 10) + -5 5 + 200x = (120 + 320x) + -5 Reorder the terms: 5 + 200x = 120 + -5 + 320x Combine like terms: 120 + -5 = 115 5 + 200x = 115 + 320x Solving 5 + 200x = 115 + 320x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-320x' to each side of the equation. 5 + 200x + -320x = 115 + 320x + -320x Combine like terms: 200x + -320x = -120x 5 + -120x = 115 + 320x + -320x Combine like terms: 320x + -320x = 0 5 + -120x = 115 + 0 5 + -120x = 115 Add '-5' to each side of the equation. 5 + -5 + -120x = 115 + -5 Combine like terms: 5 + -5 = 0 0 + -120x = 115 + -5 -120x = 115 + -5 Combine like terms: 115 + -5 = 110 -120x = 110 Divide each side by '-120'. x = -0.9166666667 Simplifying x = -0.9166666667
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