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Simplifying 20(4 + x) = 30(x + -1) + 10 (4 * 20 + x * 20) = 30(x + -1) + 10 (80 + 20x) = 30(x + -1) + 10 Reorder the terms: 80 + 20x = 30(-1 + x) + 10 80 + 20x = (-1 * 30 + x * 30) + 10 80 + 20x = (-30 + 30x) + 10 Reorder the terms: 80 + 20x = -30 + 10 + 30x Combine like terms: -30 + 10 = -20 80 + 20x = -20 + 30x Solving 80 + 20x = -20 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 80 + 20x + -30x = -20 + 30x + -30x Combine like terms: 20x + -30x = -10x 80 + -10x = -20 + 30x + -30x Combine like terms: 30x + -30x = 0 80 + -10x = -20 + 0 80 + -10x = -20 Add '-80' to each side of the equation. 80 + -80 + -10x = -20 + -80 Combine like terms: 80 + -80 = 0 0 + -10x = -20 + -80 -10x = -20 + -80 Combine like terms: -20 + -80 = -100 -10x = -100 Divide each side by '-10'. x = 10 Simplifying x = 10
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