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Simplifying 0.5(4x + -8) = 6x + 10 Reorder the terms: 0.5(-8 + 4x) = 6x + 10 (-8 * 0.5 + 4x * 0.5) = 6x + 10 (-4 + 2x) = 6x + 10 Reorder the terms: -4 + 2x = 10 + 6x Solving -4 + 2x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = 10 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = 10 + 0 -4 + -4x = 10 Add '4' to each side of the equation. -4 + 4 + -4x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 10 + 4 -4x = 10 + 4 Combine like terms: 10 + 4 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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