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Simplifying 3(4x + -8) + 12 = 11x + -13 Reorder the terms: 3(-8 + 4x) + 12 = 11x + -13 (-8 * 3 + 4x * 3) + 12 = 11x + -13 (-24 + 12x) + 12 = 11x + -13 Reorder the terms: -24 + 12 + 12x = 11x + -13 Combine like terms: -24 + 12 = -12 -12 + 12x = 11x + -13 Reorder the terms: -12 + 12x = -13 + 11x Solving -12 + 12x = -13 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -12 + 12x + -11x = -13 + 11x + -11x Combine like terms: 12x + -11x = 1x -12 + 1x = -13 + 11x + -11x Combine like terms: 11x + -11x = 0 -12 + 1x = -13 + 0 -12 + 1x = -13 Add '12' to each side of the equation. -12 + 12 + 1x = -13 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -13 + 12 1x = -13 + 12 Combine like terms: -13 + 12 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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