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Simplifying 0.5(8x + -4) = 3x + -6 Reorder the terms: 0.5(-4 + 8x) = 3x + -6 (-4 * 0.5 + 8x * 0.5) = 3x + -6 (-2 + 4x) = 3x + -6 Reorder the terms: -2 + 4x = -6 + 3x Solving -2 + 4x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 4x + -3x = -6 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = -6 + 0 -2 + 1x = -6 Add '2' to each side of the equation. -2 + 2 + 1x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -6 + 2 1x = -6 + 2 Combine like terms: -6 + 2 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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