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Simplifying 3x + 0.5(2x + -8) = 5(x + -2) Reorder the terms: 3x + 0.5(-8 + 2x) = 5(x + -2) 3x + (-8 * 0.5 + 2x * 0.5) = 5(x + -2) 3x + (-4 + 1x) = 5(x + -2) Reorder the terms: -4 + 3x + 1x = 5(x + -2) Combine like terms: 3x + 1x = 4x -4 + 4x = 5(x + -2) Reorder the terms: -4 + 4x = 5(-2 + x) -4 + 4x = (-2 * 5 + x * 5) -4 + 4x = (-10 + 5x) Solving -4 + 4x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 4x + -5x = -10 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = -10 + 0 -4 + -1x = -10 Add '4' to each side of the equation. -4 + 4 + -1x = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -10 + 4 -1x = -10 + 4 Combine like terms: -10 + 4 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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