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Simplifying 11(x + 4) = 6(2x + -4) Reorder the terms: 11(4 + x) = 6(2x + -4) (4 * 11 + x * 11) = 6(2x + -4) (44 + 11x) = 6(2x + -4) Reorder the terms: 44 + 11x = 6(-4 + 2x) 44 + 11x = (-4 * 6 + 2x * 6) 44 + 11x = (-24 + 12x) Solving 44 + 11x = -24 + 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. 44 + 11x + -12x = -24 + 12x + -12x Combine like terms: 11x + -12x = -1x 44 + -1x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 44 + -1x = -24 + 0 44 + -1x = -24 Add '-44' to each side of the equation. 44 + -44 + -1x = -24 + -44 Combine like terms: 44 + -44 = 0 0 + -1x = -24 + -44 -1x = -24 + -44 Combine like terms: -24 + -44 = -68 -1x = -68 Divide each side by '-1'. x = 68 Simplifying x = 68
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