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Simplifying 5(6 + -4x) = 3(4 + -6x) (6 * 5 + -4x * 5) = 3(4 + -6x) (30 + -20x) = 3(4 + -6x) 30 + -20x = (4 * 3 + -6x * 3) 30 + -20x = (12 + -18x) Solving 30 + -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. 30 + -20x + 18x = 12 + -18x + 18x Combine like terms: -20x + 18x = -2x 30 + -2x = 12 + -18x + 18x Combine like terms: -18x + 18x = 0 30 + -2x = 12 + 0 30 + -2x = 12 Add '-30' to each side of the equation. 30 + -30 + -2x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 12 + -30 -2x = 12 + -30 Combine like terms: 12 + -30 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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