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Simplifying 129 + -1(7x + -12) = 7(x + 6) + x Reorder the terms: 129 + -1(-12 + 7x) = 7(x + 6) + x 129 + (-12 * -1 + 7x * -1) = 7(x + 6) + x 129 + (12 + -7x) = 7(x + 6) + x Combine like terms: 129 + 12 = 141 141 + -7x = 7(x + 6) + x Reorder the terms: 141 + -7x = 7(6 + x) + x 141 + -7x = (6 * 7 + x * 7) + x 141 + -7x = (42 + 7x) + x Combine like terms: 7x + x = 8x 141 + -7x = 42 + 8x Solving 141 + -7x = 42 + 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. 141 + -7x + -8x = 42 + 8x + -8x Combine like terms: -7x + -8x = -15x 141 + -15x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 141 + -15x = 42 + 0 141 + -15x = 42 Add '-141' to each side of the equation. 141 + -141 + -15x = 42 + -141 Combine like terms: 141 + -141 = 0 0 + -15x = 42 + -141 -15x = 42 + -141 Combine like terms: 42 + -141 = -99 -15x = -99 Divide each side by '-15'. x = 6.6 Simplifying x = 6.6
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