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Simplifying -2(x + -6) = 4(4 + x) + -11 Reorder the terms: -2(-6 + x) = 4(4 + x) + -11 (-6 * -2 + x * -2) = 4(4 + x) + -11 (12 + -2x) = 4(4 + x) + -11 12 + -2x = (4 * 4 + x * 4) + -11 12 + -2x = (16 + 4x) + -11 Reorder the terms: 12 + -2x = 16 + -11 + 4x Combine like terms: 16 + -11 = 5 12 + -2x = 5 + 4x Solving 12 + -2x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -2x + -4x = 5 + 4x + -4x Combine like terms: -2x + -4x = -6x 12 + -6x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -6x = 5 + 0 12 + -6x = 5 Add '-12' to each side of the equation. 12 + -12 + -6x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 5 + -12 -6x = 5 + -12 Combine like terms: 5 + -12 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667
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