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Simplifying 0.5(4x + -6) = x + 1 Reorder the terms: 0.5(-6 + 4x) = x + 1 (-6 * 0.5 + 4x * 0.5) = x + 1 (-3 + 2x) = x + 1 Reorder the terms: -3 + 2x = 1 + x Solving -3 + 2x = 1 + 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. -3 + 2x + -1x = 1 + x + -1x Combine like terms: 2x + -1x = 1x -3 + 1x = 1 + x + -1x Combine like terms: x + -1x = 0 -3 + 1x = 1 + 0 -3 + 1x = 1 Add '3' to each side of the equation. -3 + 3 + 1x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 1 + 3 1x = 1 + 3 Combine like terms: 1 + 3 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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