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Simplifying 3(5 + -2x) = 4(4 + 3x) (5 * 3 + -2x * 3) = 4(4 + 3x) (15 + -6x) = 4(4 + 3x) 15 + -6x = (4 * 4 + 3x * 4) 15 + -6x = (16 + 12x) Solving 15 + -6x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + -6x + -12x = 16 + 12x + -12x Combine like terms: -6x + -12x = -18x 15 + -18x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -18x = 16 + 0 15 + -18x = 16 Add '-15' to each side of the equation. 15 + -15 + -18x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + -18x = 16 + -15 -18x = 16 + -15 Combine like terms: 16 + -15 = 1 -18x = 1 Divide each side by '-18'. x = -0.05555555556 Simplifying x = -0.05555555556
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