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Simplifying 0.5(13 + -4x) = 1 + -1x (13 * 0.5 + -4x * 0.5) = 1 + -1x (6.5 + -2x) = 1 + -1x Solving 6.5 + -2x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6.5 + -2x + x = 1 + -1x + x Combine like terms: -2x + x = -1x 6.5 + -1x = 1 + -1x + x Combine like terms: -1x + x = 0 6.5 + -1x = 1 + 0 6.5 + -1x = 1 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -1x = 1 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -1x = 1 + -6.5 -1x = 1 + -6.5 Combine like terms: 1 + -6.5 = -5.5 -1x = -5.5 Divide each side by '-1'. x = 5.5 Simplifying x = 5.5
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