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Simplifying 5(3 + x) = 5(4x + -1) + -10 (3 * 5 + x * 5) = 5(4x + -1) + -10 (15 + 5x) = 5(4x + -1) + -10 Reorder the terms: 15 + 5x = 5(-1 + 4x) + -10 15 + 5x = (-1 * 5 + 4x * 5) + -10 15 + 5x = (-5 + 20x) + -10 Reorder the terms: 15 + 5x = -5 + -10 + 20x Combine like terms: -5 + -10 = -15 15 + 5x = -15 + 20x Solving 15 + 5x = -15 + 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. 15 + 5x + -20x = -15 + 20x + -20x Combine like terms: 5x + -20x = -15x 15 + -15x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 15 + -15x = -15 + 0 15 + -15x = -15 Add '-15' to each side of the equation. 15 + -15 + -15x = -15 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = -15 + -15 -15x = -15 + -15 Combine like terms: -15 + -15 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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