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Simplifying 0.5(10x + -6) = x + -15 Reorder the terms: 0.5(-6 + 10x) = x + -15 (-6 * 0.5 + 10x * 0.5) = x + -15 (-3 + 5x) = x + -15 Reorder the terms: -3 + 5x = -15 + x Solving -3 + 5x = -15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 5x + -1x = -15 + x + -1x Combine like terms: 5x + -1x = 4x -3 + 4x = -15 + x + -1x Combine like terms: x + -1x = 0 -3 + 4x = -15 + 0 -3 + 4x = -15 Add '3' to each side of the equation. -3 + 3 + 4x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -15 + 3 4x = -15 + 3 Combine like terms: -15 + 3 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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