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Simplifying 132 + -1(6x + 6) = 6(x + 8) + 8 Reorder the terms: 132 + -1(6 + 6x) = 6(x + 8) + 8 132 + (6 * -1 + 6x * -1) = 6(x + 8) + 8 132 + (-6 + -6x) = 6(x + 8) + 8 Combine like terms: 132 + -6 = 126 126 + -6x = 6(x + 8) + 8 Reorder the terms: 126 + -6x = 6(8 + x) + 8 126 + -6x = (8 * 6 + x * 6) + 8 126 + -6x = (48 + 6x) + 8 Reorder the terms: 126 + -6x = 48 + 8 + 6x Combine like terms: 48 + 8 = 56 126 + -6x = 56 + 6x Solving 126 + -6x = 56 + 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. 126 + -6x + -6x = 56 + 6x + -6x Combine like terms: -6x + -6x = -12x 126 + -12x = 56 + 6x + -6x Combine like terms: 6x + -6x = 0 126 + -12x = 56 + 0 126 + -12x = 56 Add '-126' to each side of the equation. 126 + -126 + -12x = 56 + -126 Combine like terms: 126 + -126 = 0 0 + -12x = 56 + -126 -12x = 56 + -126 Combine like terms: 56 + -126 = -70 -12x = -70 Divide each side by '-12'. x = 5.833333333 Simplifying x = 5.833333333
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