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Simplifying 6(5 + -3x) = 4(1 + -5x) (5 * 6 + -3x * 6) = 4(1 + -5x) (30 + -18x) = 4(1 + -5x) 30 + -18x = (1 * 4 + -5x * 4) 30 + -18x = (4 + -20x) Solving 30 + -18x = 4 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 30 + -18x + 20x = 4 + -20x + 20x Combine like terms: -18x + 20x = 2x 30 + 2x = 4 + -20x + 20x Combine like terms: -20x + 20x = 0 30 + 2x = 4 + 0 30 + 2x = 4 Add '-30' to each side of the equation. 30 + -30 + 2x = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 4 + -30 2x = 4 + -30 Combine like terms: 4 + -30 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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