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Simplifying 0.5(4x + -5) = 8x + 10 + 2x Reorder the terms: 0.5(-5 + 4x) = 8x + 10 + 2x (-5 * 0.5 + 4x * 0.5) = 8x + 10 + 2x (-2.5 + 2x) = 8x + 10 + 2x Reorder the terms: -2.5 + 2x = 10 + 8x + 2x Combine like terms: 8x + 2x = 10x -2.5 + 2x = 10 + 10x Solving -2.5 + 2x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -2.5 + 2x + -10x = 10 + 10x + -10x Combine like terms: 2x + -10x = -8x -2.5 + -8x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -2.5 + -8x = 10 + 0 -2.5 + -8x = 10 Add '2.5' to each side of the equation. -2.5 + 2.5 + -8x = 10 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -8x = 10 + 2.5 -8x = 10 + 2.5 Combine like terms: 10 + 2.5 = 12.5 -8x = 12.5 Divide each side by '-8'. x = -1.5625 Simplifying x = -1.5625
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