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Simplifying 4(3x + -4) = 2(4x + -24) Reorder the terms: 4(-4 + 3x) = 2(4x + -24) (-4 * 4 + 3x * 4) = 2(4x + -24) (-16 + 12x) = 2(4x + -24) Reorder the terms: -16 + 12x = 2(-24 + 4x) -16 + 12x = (-24 * 2 + 4x * 2) -16 + 12x = (-48 + 8x) Solving -16 + 12x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + 12x + -8x = -48 + 8x + -8x Combine like terms: 12x + -8x = 4x -16 + 4x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 4x = -48 + 0 -16 + 4x = -48 Add '16' to each side of the equation. -16 + 16 + 4x = -48 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -48 + 16 4x = -48 + 16 Combine like terms: -48 + 16 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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