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Simplifying 8(x + 6) = 122 + -1(x + -7) Reorder the terms: 8(6 + x) = 122 + -1(x + -7) (6 * 8 + x * 8) = 122 + -1(x + -7) (48 + 8x) = 122 + -1(x + -7) Reorder the terms: 48 + 8x = 122 + -1(-7 + x) 48 + 8x = 122 + (-7 * -1 + x * -1) 48 + 8x = 122 + (7 + -1x) Combine like terms: 122 + 7 = 129 48 + 8x = 129 + -1x Solving 48 + 8x = 129 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 48 + 8x + x = 129 + -1x + x Combine like terms: 8x + x = 9x 48 + 9x = 129 + -1x + x Combine like terms: -1x + x = 0 48 + 9x = 129 + 0 48 + 9x = 129 Add '-48' to each side of the equation. 48 + -48 + 9x = 129 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 129 + -48 9x = 129 + -48 Combine like terms: 129 + -48 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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