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Simplifying 0.5(2x + -16) = 2(3x + -4) Reorder the terms: 0.5(-16 + 2x) = 2(3x + -4) (-16 * 0.5 + 2x * 0.5) = 2(3x + -4) (-8 + 1x) = 2(3x + -4) Reorder the terms: -8 + 1x = 2(-4 + 3x) -8 + 1x = (-4 * 2 + 3x * 2) -8 + 1x = (-8 + 6x) Add '8' to each side of the equation. -8 + 8 + 1x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 1x = -8 + 8 + 6x 1x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 1x = 0 + 6x 1x = 6x Solving 1x = 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. 1x + -6x = 6x + -6x Combine like terms: 1x + -6x = -5x -5x = 6x + -6x Combine like terms: 6x + -6x = 0 -5x = 0 Divide each side by '-5'. x = 0 Simplifying x = 0
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