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Simplifying 10(x + -0.5) = 8x + -15 Reorder the terms: 10(-0.5 + x) = 8x + -15 (-0.5 * 10 + x * 10) = 8x + -15 (-5 + 10x) = 8x + -15 Reorder the terms: -5 + 10x = -15 + 8x Solving -5 + 10x = -15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 10x + -8x = -15 + 8x + -8x Combine like terms: 10x + -8x = 2x -5 + 2x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + 2x = -15 + 0 -5 + 2x = -15 Add '5' to each side of the equation. -5 + 5 + 2x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -15 + 5 2x = -15 + 5 Combine like terms: -15 + 5 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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