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Simplifying 0.5(x + 5) = 3x + -10 Reorder the terms: 0.5(5 + x) = 3x + -10 (5 * 0.5 + x * 0.5) = 3x + -10 (2.5 + 0.5x) = 3x + -10 Reorder the terms: 2.5 + 0.5x = -10 + 3x Solving 2.5 + 0.5x = -10 + 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. 2.5 + 0.5x + -3x = -10 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 2.5 + -2.5x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 2.5 + -2.5x = -10 + 0 2.5 + -2.5x = -10 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2.5x = -10 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2.5x = -10 + -2.5 -2.5x = -10 + -2.5 Combine like terms: -10 + -2.5 = -12.5 -2.5x = -12.5 Divide each side by '-2.5'. x = 5 Simplifying x = 5
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