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Simplifying 131 + -1(7x + 6) = 7(x + 5) + x Reorder the terms: 131 + -1(6 + 7x) = 7(x + 5) + x 131 + (6 * -1 + 7x * -1) = 7(x + 5) + x 131 + (-6 + -7x) = 7(x + 5) + x Combine like terms: 131 + -6 = 125 125 + -7x = 7(x + 5) + x Reorder the terms: 125 + -7x = 7(5 + x) + x 125 + -7x = (5 * 7 + x * 7) + x 125 + -7x = (35 + 7x) + x Combine like terms: 7x + x = 8x 125 + -7x = 35 + 8x Solving 125 + -7x = 35 + 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. 125 + -7x + -8x = 35 + 8x + -8x Combine like terms: -7x + -8x = -15x 125 + -15x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 125 + -15x = 35 + 0 125 + -15x = 35 Add '-125' to each side of the equation. 125 + -125 + -15x = 35 + -125 Combine like terms: 125 + -125 = 0 0 + -15x = 35 + -125 -15x = 35 + -125 Combine like terms: 35 + -125 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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