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Simplifying 0.5(x + -32) = 10 + 7x Reorder the terms: 0.5(-32 + x) = 10 + 7x (-32 * 0.5 + x * 0.5) = 10 + 7x (-16 + 0.5x) = 10 + 7x Solving -16 + 0.5x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + 0.5x + -7x = 10 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -16 + -6.5x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -6.5x = 10 + 0 -16 + -6.5x = 10 Add '16' to each side of the equation. -16 + 16 + -6.5x = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -6.5x = 10 + 16 -6.5x = 10 + 16 Combine like terms: 10 + 16 = 26 -6.5x = 26 Divide each side by '-6.5'. x = -4 Simplifying x = -4
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