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Simplifying 0.5(x + -14) = 32 + 7x Reorder the terms: 0.5(-14 + x) = 32 + 7x (-14 * 0.5 + x * 0.5) = 32 + 7x (-7 + 0.5x) = 32 + 7x Solving -7 + 0.5x = 32 + 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. -7 + 0.5x + -7x = 32 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -7 + -6.5x = 32 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -6.5x = 32 + 0 -7 + -6.5x = 32 Add '7' to each side of the equation. -7 + 7 + -6.5x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + -6.5x = 32 + 7 -6.5x = 32 + 7 Combine like terms: 32 + 7 = 39 -6.5x = 39 Divide each side by '-6.5'. x = -6 Simplifying x = -6
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