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Simplifying 0.5(x + 8) = 3(x + -4) Reorder the terms: 0.5(8 + x) = 3(x + -4) (8 * 0.5 + x * 0.5) = 3(x + -4) (4 + 0.5x) = 3(x + -4) Reorder the terms: 4 + 0.5x = 3(-4 + x) 4 + 0.5x = (-4 * 3 + x * 3) 4 + 0.5x = (-12 + 3x) Solving 4 + 0.5x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 0.5x + -3x = -12 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 4 + -2.5x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -2.5x = -12 + 0 4 + -2.5x = -12 Add '-4' to each side of the equation. 4 + -4 + -2.5x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -2.5x = -12 + -4 -2.5x = -12 + -4 Combine like terms: -12 + -4 = -16 -2.5x = -16 Divide each side by '-2.5'. x = 6.4 Simplifying x = 6.4
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