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Simplifying 0.5x + 8 = 2.5(x + -4) Reorder the terms: 8 + 0.5x = 2.5(x + -4) Reorder the terms: 8 + 0.5x = 2.5(-4 + x) 8 + 0.5x = (-4 * 2.5 + x * 2.5) 8 + 0.5x = (-10 + 2.5x) Solving 8 + 0.5x = -10 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 8 + 0.5x + -2.5x = -10 + 2.5x + -2.5x Combine like terms: 0.5x + -2.5x = -2x 8 + -2x = -10 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 8 + -2x = -10 + 0.0 8 + -2x = -10 Add '-8' to each side of the equation. 8 + -8 + -2x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -10 + -8 -2x = -10 + -8 Combine like terms: -10 + -8 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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