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Simplifying 2(x + -4) = 3(-2x + 8) Reorder the terms: 2(-4 + x) = 3(-2x + 8) (-4 * 2 + x * 2) = 3(-2x + 8) (-8 + 2x) = 3(-2x + 8) Reorder the terms: -8 + 2x = 3(8 + -2x) -8 + 2x = (8 * 3 + -2x * 3) -8 + 2x = (24 + -6x) Solving -8 + 2x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + 2x + 6x = 24 + -6x + 6x Combine like terms: 2x + 6x = 8x -8 + 8x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 8x = 24 + 0 -8 + 8x = 24 Add '8' to each side of the equation. -8 + 8 + 8x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 24 + 8 8x = 24 + 8 Combine like terms: 24 + 8 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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