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Simplifying 11x + 12 = 3(4x + -4) Reorder the terms: 12 + 11x = 3(4x + -4) Reorder the terms: 12 + 11x = 3(-4 + 4x) 12 + 11x = (-4 * 3 + 4x * 3) 12 + 11x = (-12 + 12x) Solving 12 + 11x = -12 + 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. 12 + 11x + -12x = -12 + 12x + -12x Combine like terms: 11x + -12x = -1x 12 + -1x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -1x = -12 + 0 12 + -1x = -12 Add '-12' to each side of the equation. 12 + -12 + -1x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -12 + -12 -1x = -12 + -12 Combine like terms: -12 + -12 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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