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Simplifying -0.5x + 1 = 7x + 14 Reorder the terms: 1 + -0.5x = 7x + 14 Reorder the terms: 1 + -0.5x = 14 + 7x Solving 1 + -0.5x = 14 + 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. 1 + -0.5x + -7x = 14 + 7x + -7x Combine like terms: -0.5x + -7x = -7.5x 1 + -7.5x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -7.5x = 14 + 0 1 + -7.5x = 14 Add '-1' to each side of the equation. 1 + -1 + -7.5x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + -7.5x = 14 + -1 -7.5x = 14 + -1 Combine like terms: 14 + -1 = 13 -7.5x = 13 Divide each side by '-7.5'. x = -1.733333333 Simplifying x = -1.733333333
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