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Simplifying 12(-82x + 26) = (-2x + 62) Reorder the terms: 12(26 + -82x) = (-2x + 62) (26 * 12 + -82x * 12) = (-2x + 62) (312 + -984x) = (-2x + 62) Reorder the terms: 312 + -984x = (62 + -2x) Remove parenthesis around (62 + -2x) 312 + -984x = 62 + -2x Solving 312 + -984x = 62 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 312 + -984x + 2x = 62 + -2x + 2x Combine like terms: -984x + 2x = -982x 312 + -982x = 62 + -2x + 2x Combine like terms: -2x + 2x = 0 312 + -982x = 62 + 0 312 + -982x = 62 Add '-312' to each side of the equation. 312 + -312 + -982x = 62 + -312 Combine like terms: 312 + -312 = 0 0 + -982x = 62 + -312 -982x = 62 + -312 Combine like terms: 62 + -312 = -250 -982x = -250 Divide each side by '-982'. x = 0.2545824847 Simplifying x = 0.2545824847
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