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Simplifying 0.5(4x + 10) = 5 + -3x Reorder the terms: 0.5(10 + 4x) = 5 + -3x (10 * 0.5 + 4x * 0.5) = 5 + -3x (5 + 2x) = 5 + -3x Add '-5' to each side of the equation. 5 + -5 + 2x = 5 + -5 + -3x Combine like terms: 5 + -5 = 0 0 + 2x = 5 + -5 + -3x 2x = 5 + -5 + -3x Combine like terms: 5 + -5 = 0 2x = 0 + -3x 2x = -3x Solving 2x = -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. 2x + 3x = -3x + 3x Combine like terms: 2x + 3x = 5x 5x = -3x + 3x Combine like terms: -3x + 3x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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