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Simplifying -3x + 6(x + -4) = 4(2x + 2) + 3x Reorder the terms: -3x + 6(-4 + x) = 4(2x + 2) + 3x -3x + (-4 * 6 + x * 6) = 4(2x + 2) + 3x -3x + (-24 + 6x) = 4(2x + 2) + 3x Reorder the terms: -24 + -3x + 6x = 4(2x + 2) + 3x Combine like terms: -3x + 6x = 3x -24 + 3x = 4(2x + 2) + 3x Reorder the terms: -24 + 3x = 4(2 + 2x) + 3x -24 + 3x = (2 * 4 + 2x * 4) + 3x -24 + 3x = (8 + 8x) + 3x Combine like terms: 8x + 3x = 11x -24 + 3x = 8 + 11x Solving -24 + 3x = 8 + 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. -24 + 3x + -11x = 8 + 11x + -11x Combine like terms: 3x + -11x = -8x -24 + -8x = 8 + 11x + -11x Combine like terms: 11x + -11x = 0 -24 + -8x = 8 + 0 -24 + -8x = 8 Add '24' to each side of the equation. -24 + 24 + -8x = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -8x = 8 + 24 -8x = 8 + 24 Combine like terms: 8 + 24 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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