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Simplifying 3(5 + -2x) = 2(3x + 4) (5 * 3 + -2x * 3) = 2(3x + 4) (15 + -6x) = 2(3x + 4) Reorder the terms: 15 + -6x = 2(4 + 3x) 15 + -6x = (4 * 2 + 3x * 2) 15 + -6x = (8 + 6x) Solving 15 + -6x = 8 + 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. 15 + -6x + -6x = 8 + 6x + -6x Combine like terms: -6x + -6x = -12x 15 + -12x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -12x = 8 + 0 15 + -12x = 8 Add '-15' to each side of the equation. 15 + -15 + -12x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = 8 + -15 -12x = 8 + -15 Combine like terms: 8 + -15 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333
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