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Simplifying 0.5(x + -28) = 12 + 7x Reorder the terms: 0.5(-28 + x) = 12 + 7x (-28 * 0.5 + x * 0.5) = 12 + 7x (-14 + 0.5x) = 12 + 7x Solving -14 + 0.5x = 12 + 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. -14 + 0.5x + -7x = 12 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -14 + -6.5x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -14 + -6.5x = 12 + 0 -14 + -6.5x = 12 Add '14' to each side of the equation. -14 + 14 + -6.5x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -6.5x = 12 + 14 -6.5x = 12 + 14 Combine like terms: 12 + 14 = 26 -6.5x = 26 Divide each side by '-6.5'. x = -4 Simplifying x = -4
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