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Simplifying 2(3x + -4) = -4(6 + -2x) + 2x Reorder the terms: 2(-4 + 3x) = -4(6 + -2x) + 2x (-4 * 2 + 3x * 2) = -4(6 + -2x) + 2x (-8 + 6x) = -4(6 + -2x) + 2x -8 + 6x = (6 * -4 + -2x * -4) + 2x -8 + 6x = (-24 + 8x) + 2x Combine like terms: 8x + 2x = 10x -8 + 6x = -24 + 10x Solving -8 + 6x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 6x + -10x = -24 + 10x + -10x Combine like terms: 6x + -10x = -4x -8 + -4x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -4x = -24 + 0 -8 + -4x = -24 Add '8' to each side of the equation. -8 + 8 + -4x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -24 + 8 -4x = -24 + 8 Combine like terms: -24 + 8 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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