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Simplifying 7(1 + -4x) + 4(-5x + 7) = -61 (1 * 7 + -4x * 7) + 4(-5x + 7) = -61 (7 + -28x) + 4(-5x + 7) = -61 Reorder the terms: 7 + -28x + 4(7 + -5x) = -61 7 + -28x + (7 * 4 + -5x * 4) = -61 7 + -28x + (28 + -20x) = -61 Reorder the terms: 7 + 28 + -28x + -20x = -61 Combine like terms: 7 + 28 = 35 35 + -28x + -20x = -61 Combine like terms: -28x + -20x = -48x 35 + -48x = -61 Solving 35 + -48x = -61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -48x = -61 + -35 Combine like terms: 35 + -35 = 0 0 + -48x = -61 + -35 -48x = -61 + -35 Combine like terms: -61 + -35 = -96 -48x = -96 Divide each side by '-48'. x = 2 Simplifying x = 2
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