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Simplifying 4(7x + 5) + -48x = 10x + -10 Reorder the terms: 4(5 + 7x) + -48x = 10x + -10 (5 * 4 + 7x * 4) + -48x = 10x + -10 (20 + 28x) + -48x = 10x + -10 Combine like terms: 28x + -48x = -20x 20 + -20x = 10x + -10 Reorder the terms: 20 + -20x = -10 + 10x Solving 20 + -20x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + -20x + -10x = -10 + 10x + -10x Combine like terms: -20x + -10x = -30x 20 + -30x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -30x = -10 + 0 20 + -30x = -10 Add '-20' to each side of the equation. 20 + -20 + -30x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -30x = -10 + -20 -30x = -10 + -20 Combine like terms: -10 + -20 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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