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Simplifying 108 + -1(6x + 6) = 6(x + 4) + x Reorder the terms: 108 + -1(6 + 6x) = 6(x + 4) + x 108 + (6 * -1 + 6x * -1) = 6(x + 4) + x 108 + (-6 + -6x) = 6(x + 4) + x Combine like terms: 108 + -6 = 102 102 + -6x = 6(x + 4) + x Reorder the terms: 102 + -6x = 6(4 + x) + x 102 + -6x = (4 * 6 + x * 6) + x 102 + -6x = (24 + 6x) + x Combine like terms: 6x + x = 7x 102 + -6x = 24 + 7x Solving 102 + -6x = 24 + 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. 102 + -6x + -7x = 24 + 7x + -7x Combine like terms: -6x + -7x = -13x 102 + -13x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 102 + -13x = 24 + 0 102 + -13x = 24 Add '-102' to each side of the equation. 102 + -102 + -13x = 24 + -102 Combine like terms: 102 + -102 = 0 0 + -13x = 24 + -102 -13x = 24 + -102 Combine like terms: 24 + -102 = -78 -13x = -78 Divide each side by '-13'. x = 6 Simplifying x = 6
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