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Simplifying 0.5(8 + -6x) = x (8 * 0.5 + -6x * 0.5) = x (4 + -3x) = x Solving 4 + -3x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -3x + -1x = x + -1x Combine like terms: -3x + -1x = -4x 4 + -4x = x + -1x Combine like terms: x + -1x = 0 4 + -4x = 0 Add '-4' to each side of the equation. 4 + -4 + -4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 0 + -4 -4x = 0 + -4 Combine like terms: 0 + -4 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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