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Simplifying 7x + -2(-0.5 + 0.5x) = 1 7x + (-0.5 * -2 + 0.5x * -2) = 1 7x + (1 + -1x) = 1 Reorder the terms: 1 + 7x + -1x = 1 Combine like terms: 7x + -1x = 6x 1 + 6x = 1 Add '-1' to each side of the equation. 1 + -1 + 6x = 1 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 1 + -1 6x = 1 + -1 Combine like terms: 1 + -1 = 0 6x = 0 Solving 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '6'. x = 0 Simplifying x = 0
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