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Simplifying 112 + -1(6x + 12) = 6(x + 8) + x Reorder the terms: 112 + -1(12 + 6x) = 6(x + 8) + x 112 + (12 * -1 + 6x * -1) = 6(x + 8) + x 112 + (-12 + -6x) = 6(x + 8) + x Combine like terms: 112 + -12 = 100 100 + -6x = 6(x + 8) + x Reorder the terms: 100 + -6x = 6(8 + x) + x 100 + -6x = (8 * 6 + x * 6) + x 100 + -6x = (48 + 6x) + x Combine like terms: 6x + x = 7x 100 + -6x = 48 + 7x Solving 100 + -6x = 48 + 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. 100 + -6x + -7x = 48 + 7x + -7x Combine like terms: -6x + -7x = -13x 100 + -13x = 48 + 7x + -7x Combine like terms: 7x + -7x = 0 100 + -13x = 48 + 0 100 + -13x = 48 Add '-100' to each side of the equation. 100 + -100 + -13x = 48 + -100 Combine like terms: 100 + -100 = 0 0 + -13x = 48 + -100 -13x = 48 + -100 Combine like terms: 48 + -100 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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