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Simplifying 0.5(8x + -6) = 4x + 8 + -1x Reorder the terms: 0.5(-6 + 8x) = 4x + 8 + -1x (-6 * 0.5 + 8x * 0.5) = 4x + 8 + -1x (-3 + 4x) = 4x + 8 + -1x Reorder the terms: -3 + 4x = 8 + 4x + -1x Combine like terms: 4x + -1x = 3x -3 + 4x = 8 + 3x Solving -3 + 4x = 8 + 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. -3 + 4x + -3x = 8 + 3x + -3x Combine like terms: 4x + -3x = 1x -3 + 1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 1x = 8 + 0 -3 + 1x = 8 Add '3' to each side of the equation. -3 + 3 + 1x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 8 + 3 1x = 8 + 3 Combine like terms: 8 + 3 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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