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Simplifying -6(x + -8) = -12(x + -11) + -6 Reorder the terms: -6(-8 + x) = -12(x + -11) + -6 (-8 * -6 + x * -6) = -12(x + -11) + -6 (48 + -6x) = -12(x + -11) + -6 Reorder the terms: 48 + -6x = -12(-11 + x) + -6 48 + -6x = (-11 * -12 + x * -12) + -6 48 + -6x = (132 + -12x) + -6 Reorder the terms: 48 + -6x = 132 + -6 + -12x Combine like terms: 132 + -6 = 126 48 + -6x = 126 + -12x Solving 48 + -6x = 126 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 48 + -6x + 12x = 126 + -12x + 12x Combine like terms: -6x + 12x = 6x 48 + 6x = 126 + -12x + 12x Combine like terms: -12x + 12x = 0 48 + 6x = 126 + 0 48 + 6x = 126 Add '-48' to each side of the equation. 48 + -48 + 6x = 126 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 126 + -48 6x = 126 + -48 Combine like terms: 126 + -48 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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