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Simplifying 3x + -6 = 0.5(4x + 8) Reorder the terms: -6 + 3x = 0.5(4x + 8) Reorder the terms: -6 + 3x = 0.5(8 + 4x) -6 + 3x = (8 * 0.5 + 4x * 0.5) -6 + 3x = (4 + 2x) Solving -6 + 3x = 4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 3x + -2x = 4 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = 4 + 0 -6 + 1x = 4 Add '6' to each side of the equation. -6 + 6 + 1x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 4 + 6 1x = 4 + 6 Combine like terms: 4 + 6 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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