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Simplifying 3(2x + -10) = 12(7 + -10x) Reorder the terms: 3(-10 + 2x) = 12(7 + -10x) (-10 * 3 + 2x * 3) = 12(7 + -10x) (-30 + 6x) = 12(7 + -10x) -30 + 6x = (7 * 12 + -10x * 12) -30 + 6x = (84 + -120x) Solving -30 + 6x = 84 + -120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120x' to each side of the equation. -30 + 6x + 120x = 84 + -120x + 120x Combine like terms: 6x + 120x = 126x -30 + 126x = 84 + -120x + 120x Combine like terms: -120x + 120x = 0 -30 + 126x = 84 + 0 -30 + 126x = 84 Add '30' to each side of the equation. -30 + 30 + 126x = 84 + 30 Combine like terms: -30 + 30 = 0 0 + 126x = 84 + 30 126x = 84 + 30 Combine like terms: 84 + 30 = 114 126x = 114 Divide each side by '126'. x = 0.9047619048 Simplifying x = 0.9047619048
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