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