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Simplifying 3(3x + -5) = 2(10 + -2x) Reorder the terms: 3(-5 + 3x) = 2(10 + -2x) (-5 * 3 + 3x * 3) = 2(10 + -2x) (-15 + 9x) = 2(10 + -2x) -15 + 9x = (10 * 2 + -2x * 2) -15 + 9x = (20 + -4x) Solving -15 + 9x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 9x + 4x = 20 + -4x + 4x Combine like terms: 9x + 4x = 13x -15 + 13x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 13x = 20 + 0 -15 + 13x = 20 Add '15' to each side of the equation. -15 + 15 + 13x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + 13x = 20 + 15 13x = 20 + 15 Combine like terms: 20 + 15 = 35 13x = 35 Divide each side by '13'. x = 2.692307692 Simplifying x = 2.692307692
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