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Simplifying 4(3x + 5) = 5x + -1(10 + 3x) Reorder the terms: 4(5 + 3x) = 5x + -1(10 + 3x) (5 * 4 + 3x * 4) = 5x + -1(10 + 3x) (20 + 12x) = 5x + -1(10 + 3x) 20 + 12x = 5x + (10 * -1 + 3x * -1) 20 + 12x = 5x + (-10 + -3x) Reorder the terms: 20 + 12x = -10 + 5x + -3x Combine like terms: 5x + -3x = 2x 20 + 12x = -10 + 2x Solving 20 + 12x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 12x + -2x = -10 + 2x + -2x Combine like terms: 12x + -2x = 10x 20 + 10x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 10x = -10 + 0 20 + 10x = -10 Add '-20' to each side of the equation. 20 + -20 + 10x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = -10 + -20 10x = -10 + -20 Combine like terms: -10 + -20 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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