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Simplifying 3.25 + 10(12 + -1x) = 5(2x + -7) 3.25 + (12 * 10 + -1x * 10) = 5(2x + -7) 3.25 + (120 + -10x) = 5(2x + -7) Combine like terms: 3.25 + 120 = 123.25 123.25 + -10x = 5(2x + -7) Reorder the terms: 123.25 + -10x = 5(-7 + 2x) 123.25 + -10x = (-7 * 5 + 2x * 5) 123.25 + -10x = (-35 + 10x) Solving 123.25 + -10x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 123.25 + -10x + -10x = -35 + 10x + -10x Combine like terms: -10x + -10x = -20x 123.25 + -20x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 123.25 + -20x = -35 + 0 123.25 + -20x = -35 Add '-123.25' to each side of the equation. 123.25 + -123.25 + -20x = -35 + -123.25 Combine like terms: 123.25 + -123.25 = 0.00 0.00 + -20x = -35 + -123.25 -20x = -35 + -123.25 Combine like terms: -35 + -123.25 = -158.25 -20x = -158.25 Divide each side by '-20'. x = 7.9125 Simplifying x = 7.9125
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