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Simplifying 125 + -1(7x + 7) = 7(x + 4) + x Reorder the terms: 125 + -1(7 + 7x) = 7(x + 4) + x 125 + (7 * -1 + 7x * -1) = 7(x + 4) + x 125 + (-7 + -7x) = 7(x + 4) + x Combine like terms: 125 + -7 = 118 118 + -7x = 7(x + 4) + x Reorder the terms: 118 + -7x = 7(4 + x) + x 118 + -7x = (4 * 7 + x * 7) + x 118 + -7x = (28 + 7x) + x Combine like terms: 7x + x = 8x 118 + -7x = 28 + 8x Solving 118 + -7x = 28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 118 + -7x + -8x = 28 + 8x + -8x Combine like terms: -7x + -8x = -15x 118 + -15x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 118 + -15x = 28 + 0 118 + -15x = 28 Add '-118' to each side of the equation. 118 + -118 + -15x = 28 + -118 Combine like terms: 118 + -118 = 0 0 + -15x = 28 + -118 -15x = 28 + -118 Combine like terms: 28 + -118 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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