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Simplifying (6x + -8) * 0.5 = 8 + -1x Reorder the terms: (-8 + 6x) * 0.5 = 8 + -1x Reorder the terms for easier multiplication: 0.5(-8 + 6x) = 8 + -1x (-8 * 0.5 + 6x * 0.5) = 8 + -1x (-4 + 3x) = 8 + -1x Solving -4 + 3x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 3x + x = 8 + -1x + x Combine like terms: 3x + x = 4x -4 + 4x = 8 + -1x + x Combine like terms: -1x + x = 0 -4 + 4x = 8 + 0 -4 + 4x = 8 Add '4' to each side of the equation. -4 + 4 + 4x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 8 + 4 4x = 8 + 4 Combine like terms: 8 + 4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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