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Simplifying 112 + -1(6x + -9) = 6(x + 2) + x Reorder the terms: 112 + -1(-9 + 6x) = 6(x + 2) + x 112 + (-9 * -1 + 6x * -1) = 6(x + 2) + x 112 + (9 + -6x) = 6(x + 2) + x Combine like terms: 112 + 9 = 121 121 + -6x = 6(x + 2) + x Reorder the terms: 121 + -6x = 6(2 + x) + x 121 + -6x = (2 * 6 + x * 6) + x 121 + -6x = (12 + 6x) + x Combine like terms: 6x + x = 7x 121 + -6x = 12 + 7x Solving 121 + -6x = 12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 121 + -6x + -7x = 12 + 7x + -7x Combine like terms: -6x + -7x = -13x 121 + -13x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 121 + -13x = 12 + 0 121 + -13x = 12 Add '-121' to each side of the equation. 121 + -121 + -13x = 12 + -121 Combine like terms: 121 + -121 = 0 0 + -13x = 12 + -121 -13x = 12 + -121 Combine like terms: 12 + -121 = -109 -13x = -109 Divide each side by '-13'. x = 8.384615385 Simplifying x = 8.384615385
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