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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 = -6.5x 1 + -6.5x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -6.5x = -14 + 0 1 + -6.5x = -14 Add '-1' to each side of the equation. 1 + -1 + -6.5x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -6.5x = -14 + -1 -6.5x = -14 + -1 Combine like terms: -14 + -1 = -15 -6.5x = -15 Divide each side by '-6.5'. x = 2.307692308 Simplifying x = 2.307692308
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