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Simplifying 5(-31x + 28) = -12(6 + 2x) Reorder the terms: 5(28 + -31x) = -12(6 + 2x) (28 * 5 + -31x * 5) = -12(6 + 2x) (140 + -155x) = -12(6 + 2x) 140 + -155x = (6 * -12 + 2x * -12) 140 + -155x = (-72 + -24x) Solving 140 + -155x = -72 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 140 + -155x + 24x = -72 + -24x + 24x Combine like terms: -155x + 24x = -131x 140 + -131x = -72 + -24x + 24x Combine like terms: -24x + 24x = 0 140 + -131x = -72 + 0 140 + -131x = -72 Add '-140' to each side of the equation. 140 + -140 + -131x = -72 + -140 Combine like terms: 140 + -140 = 0 0 + -131x = -72 + -140 -131x = -72 + -140 Combine like terms: -72 + -140 = -212 -131x = -212 Divide each side by '-131'. x = 1.618320611 Simplifying x = 1.618320611
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