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Simplifying 5(2x + -6) = 3(3 + -2x) Reorder the terms: 5(-6 + 2x) = 3(3 + -2x) (-6 * 5 + 2x * 5) = 3(3 + -2x) (-30 + 10x) = 3(3 + -2x) -30 + 10x = (3 * 3 + -2x * 3) -30 + 10x = (9 + -6x) Solving -30 + 10x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 10x + 6x = 9 + -6x + 6x Combine like terms: 10x + 6x = 16x -30 + 16x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 16x = 9 + 0 -30 + 16x = 9 Add '30' to each side of the equation. -30 + 30 + 16x = 9 + 30 Combine like terms: -30 + 30 = 0 0 + 16x = 9 + 30 16x = 9 + 30 Combine like terms: 9 + 30 = 39 16x = 39 Divide each side by '16'. x = 2.4375 Simplifying x = 2.4375
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