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Simplifying 0.5(4x + -10) = 3x Reorder the terms: 0.5(-10 + 4x) = 3x (-10 * 0.5 + 4x * 0.5) = 3x (-5 + 2x) = 3x Solving -5 + 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. -5 + 2x + -3x = 3x + -3x Combine like terms: 2x + -3x = -1x -5 + -1x = 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1x = 0 Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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