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Simplifying 2x + 0.5(4x + -8) = -43 + 16x Reorder the terms: 2x + 0.5(-8 + 4x) = -43 + 16x 2x + (-8 * 0.5 + 4x * 0.5) = -43 + 16x 2x + (-4 + 2x) = -43 + 16x Reorder the terms: -4 + 2x + 2x = -43 + 16x Combine like terms: 2x + 2x = 4x -4 + 4x = -43 + 16x Solving -4 + 4x = -43 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -4 + 4x + -16x = -43 + 16x + -16x Combine like terms: 4x + -16x = -12x -4 + -12x = -43 + 16x + -16x Combine like terms: 16x + -16x = 0 -4 + -12x = -43 + 0 -4 + -12x = -43 Add '4' to each side of the equation. -4 + 4 + -12x = -43 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = -43 + 4 -12x = -43 + 4 Combine like terms: -43 + 4 = -39 -12x = -39 Divide each side by '-12'. x = 3.25 Simplifying x = 3.25
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