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Simplifying x + -5 = 0.5(12 + -14x) Reorder the terms: -5 + x = 0.5(12 + -14x) -5 + x = (12 * 0.5 + -14x * 0.5) -5 + x = (6 + -7x) Solving -5 + x = 6 + -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. -5 + x + 7x = 6 + -7x + 7x Combine like terms: x + 7x = 8x -5 + 8x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 8x = 6 + 0 -5 + 8x = 6 Add '5' to each side of the equation. -5 + 5 + 8x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 6 + 5 8x = 6 + 5 Combine like terms: 6 + 5 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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