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Simplifying 172 + -1(7x + 11) = 7(x + 8) + x Reorder the terms: 172 + -1(11 + 7x) = 7(x + 8) + x 172 + (11 * -1 + 7x * -1) = 7(x + 8) + x 172 + (-11 + -7x) = 7(x + 8) + x Combine like terms: 172 + -11 = 161 161 + -7x = 7(x + 8) + x Reorder the terms: 161 + -7x = 7(8 + x) + x 161 + -7x = (8 * 7 + x * 7) + x 161 + -7x = (56 + 7x) + x Combine like terms: 7x + x = 8x 161 + -7x = 56 + 8x Solving 161 + -7x = 56 + 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. 161 + -7x + -8x = 56 + 8x + -8x Combine like terms: -7x + -8x = -15x 161 + -15x = 56 + 8x + -8x Combine like terms: 8x + -8x = 0 161 + -15x = 56 + 0 161 + -15x = 56 Add '-161' to each side of the equation. 161 + -161 + -15x = 56 + -161 Combine like terms: 161 + -161 = 0 0 + -15x = 56 + -161 -15x = 56 + -161 Combine like terms: 56 + -161 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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