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Simplifying 131 + -1(7x + 12) = 7(x + 2) + x Reorder the terms: 131 + -1(12 + 7x) = 7(x + 2) + x 131 + (12 * -1 + 7x * -1) = 7(x + 2) + x 131 + (-12 + -7x) = 7(x + 2) + x Combine like terms: 131 + -12 = 119 119 + -7x = 7(x + 2) + x Reorder the terms: 119 + -7x = 7(2 + x) + x 119 + -7x = (2 * 7 + x * 7) + x 119 + -7x = (14 + 7x) + x Combine like terms: 7x + x = 8x 119 + -7x = 14 + 8x Solving 119 + -7x = 14 + 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. 119 + -7x + -8x = 14 + 8x + -8x Combine like terms: -7x + -8x = -15x 119 + -15x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 119 + -15x = 14 + 0 119 + -15x = 14 Add '-119' to each side of the equation. 119 + -119 + -15x = 14 + -119 Combine like terms: 119 + -119 = 0 0 + -15x = 14 + -119 -15x = 14 + -119 Combine like terms: 14 + -119 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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