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Simplifying 2(x + -4) = 3(-4x + 8) Reorder the terms: 2(-4 + x) = 3(-4x + 8) (-4 * 2 + x * 2) = 3(-4x + 8) (-8 + 2x) = 3(-4x + 8) Reorder the terms: -8 + 2x = 3(8 + -4x) -8 + 2x = (8 * 3 + -4x * 3) -8 + 2x = (24 + -12x) Solving -8 + 2x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -8 + 2x + 12x = 24 + -12x + 12x Combine like terms: 2x + 12x = 14x -8 + 14x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 14x = 24 + 0 -8 + 14x = 24 Add '8' to each side of the equation. -8 + 8 + 14x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 24 + 8 14x = 24 + 8 Combine like terms: 24 + 8 = 32 14x = 32 Divide each side by '14'. x = 2.285714286 Simplifying x = 2.285714286
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