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Simplifying 6(3x + 5) = 5(4x + -1) Reorder the terms: 6(5 + 3x) = 5(4x + -1) (5 * 6 + 3x * 6) = 5(4x + -1) (30 + 18x) = 5(4x + -1) Reorder the terms: 30 + 18x = 5(-1 + 4x) 30 + 18x = (-1 * 5 + 4x * 5) 30 + 18x = (-5 + 20x) Solving 30 + 18x = -5 + 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 = -5 + 20x + -20x Combine like terms: 18x + -20x = -2x 30 + -2x = -5 + 20x + -20x Combine like terms: 20x + -20x = 0 30 + -2x = -5 + 0 30 + -2x = -5 Add '-30' to each side of the equation. 30 + -30 + -2x = -5 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = -5 + -30 -2x = -5 + -30 Combine like terms: -5 + -30 = -35 -2x = -35 Divide each side by '-2'. x = 17.5 Simplifying x = 17.5
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