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Simplifying 3x + -8 = 0.5(8x + 4) Reorder the terms: -8 + 3x = 0.5(8x + 4) Reorder the terms: -8 + 3x = 0.5(4 + 8x) -8 + 3x = (4 * 0.5 + 8x * 0.5) -8 + 3x = (2 + 4x) Solving -8 + 3x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8 + 3x + -4x = 2 + 4x + -4x Combine like terms: 3x + -4x = -1x -8 + -1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + -1x = 2 + 0 -8 + -1x = 2 Add '8' to each side of the equation. -8 + 8 + -1x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 2 + 8 -1x = 2 + 8 Combine like terms: 2 + 8 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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