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Simplifying 5(4x + 3) = 3(6x + -4) Reorder the terms: 5(3 + 4x) = 3(6x + -4) (3 * 5 + 4x * 5) = 3(6x + -4) (15 + 20x) = 3(6x + -4) Reorder the terms: 15 + 20x = 3(-4 + 6x) 15 + 20x = (-4 * 3 + 6x * 3) 15 + 20x = (-12 + 18x) Solving 15 + 20x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 15 + 20x + -18x = -12 + 18x + -18x Combine like terms: 20x + -18x = 2x 15 + 2x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + 2x = -12 + 0 15 + 2x = -12 Add '-15' to each side of the equation. 15 + -15 + 2x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -12 + -15 2x = -12 + -15 Combine like terms: -12 + -15 = -27 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5
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