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Simplifying 112 + -1(5x + 6) = 5(x + 8) + x Reorder the terms: 112 + -1(6 + 5x) = 5(x + 8) + x 112 + (6 * -1 + 5x * -1) = 5(x + 8) + x 112 + (-6 + -5x) = 5(x + 8) + x Combine like terms: 112 + -6 = 106 106 + -5x = 5(x + 8) + x Reorder the terms: 106 + -5x = 5(8 + x) + x 106 + -5x = (8 * 5 + x * 5) + x 106 + -5x = (40 + 5x) + x Combine like terms: 5x + x = 6x 106 + -5x = 40 + 6x Solving 106 + -5x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 106 + -5x + -6x = 40 + 6x + -6x Combine like terms: -5x + -6x = -11x 106 + -11x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 106 + -11x = 40 + 0 106 + -11x = 40 Add '-106' to each side of the equation. 106 + -106 + -11x = 40 + -106 Combine like terms: 106 + -106 = 0 0 + -11x = 40 + -106 -11x = 40 + -106 Combine like terms: 40 + -106 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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