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Simplifying 3(6x + -10) = 2(20 + -1x) Reorder the terms: 3(-10 + 6x) = 2(20 + -1x) (-10 * 3 + 6x * 3) = 2(20 + -1x) (-30 + 18x) = 2(20 + -1x) -30 + 18x = (20 * 2 + -1x * 2) -30 + 18x = (40 + -2x) Solving -30 + 18x = 40 + -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. -30 + 18x + 2x = 40 + -2x + 2x Combine like terms: 18x + 2x = 20x -30 + 20x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 20x = 40 + 0 -30 + 20x = 40 Add '30' to each side of the equation. -30 + 30 + 20x = 40 + 30 Combine like terms: -30 + 30 = 0 0 + 20x = 40 + 30 20x = 40 + 30 Combine like terms: 40 + 30 = 70 20x = 70 Divide each side by '20'. x = 3.5 Simplifying x = 3.5
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