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Simplifying 0.5(x + 8) = 4(x + -6) Reorder the terms: 0.5(8 + x) = 4(x + -6) (8 * 0.5 + x * 0.5) = 4(x + -6) (4 + 0.5x) = 4(x + -6) Reorder the terms: 4 + 0.5x = 4(-6 + x) 4 + 0.5x = (-6 * 4 + x * 4) 4 + 0.5x = (-24 + 4x) Solving 4 + 0.5x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 0.5x + -4x = -24 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 4 + -3.5x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -3.5x = -24 + 0 4 + -3.5x = -24 Add '-4' to each side of the equation. 4 + -4 + -3.5x = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -3.5x = -24 + -4 -3.5x = -24 + -4 Combine like terms: -24 + -4 = -28 -3.5x = -28 Divide each side by '-3.5'. x = 8 Simplifying x = 8
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