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Simplifying 2(3x + -4) = 4(0.5x + -8) Reorder the terms: 2(-4 + 3x) = 4(0.5x + -8) (-4 * 2 + 3x * 2) = 4(0.5x + -8) (-8 + 6x) = 4(0.5x + -8) Reorder the terms: -8 + 6x = 4(-8 + 0.5x) -8 + 6x = (-8 * 4 + 0.5x * 4) -8 + 6x = (-32 + 2x) Solving -8 + 6x = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 6x + -2x = -32 + 2x + -2x Combine like terms: 6x + -2x = 4x -8 + 4x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 4x = -32 + 0 -8 + 4x = -32 Add '8' to each side of the equation. -8 + 8 + 4x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -32 + 8 4x = -32 + 8 Combine like terms: -32 + 8 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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