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Simplifying -12(x + 2) = -8(-11x + 3) + 3x Reorder the terms: -12(2 + x) = -8(-11x + 3) + 3x (2 * -12 + x * -12) = -8(-11x + 3) + 3x (-24 + -12x) = -8(-11x + 3) + 3x Reorder the terms: -24 + -12x = -8(3 + -11x) + 3x -24 + -12x = (3 * -8 + -11x * -8) + 3x -24 + -12x = (-24 + 88x) + 3x Combine like terms: 88x + 3x = 91x -24 + -12x = -24 + 91x Add '24' to each side of the equation. -24 + 24 + -12x = -24 + 24 + 91x Combine like terms: -24 + 24 = 0 0 + -12x = -24 + 24 + 91x -12x = -24 + 24 + 91x Combine like terms: -24 + 24 = 0 -12x = 0 + 91x -12x = 91x Solving -12x = 91x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91x' to each side of the equation. -12x + -91x = 91x + -91x Combine like terms: -12x + -91x = -103x -103x = 91x + -91x Combine like terms: 91x + -91x = 0 -103x = 0 Divide each side by '-103'. x = 0 Simplifying x = 0
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