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Simplifying 3(2x + -1) = 0.5(4x + -2) + 2 Reorder the terms: 3(-1 + 2x) = 0.5(4x + -2) + 2 (-1 * 3 + 2x * 3) = 0.5(4x + -2) + 2 (-3 + 6x) = 0.5(4x + -2) + 2 Reorder the terms: -3 + 6x = 0.5(-2 + 4x) + 2 -3 + 6x = (-2 * 0.5 + 4x * 0.5) + 2 -3 + 6x = (-1 + 2x) + 2 Reorder the terms: -3 + 6x = -1 + 2 + 2x Combine like terms: -1 + 2 = 1 -3 + 6x = 1 + 2x Solving -3 + 6x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -3 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 4x = 1 + 0 -3 + 4x = 1 Add '3' to each side of the equation. -3 + 3 + 4x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 1 + 3 4x = 1 + 3 Combine like terms: 1 + 3 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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