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Simplifying 3(x + -2) = 0.5(4x + -8) Reorder the terms: 3(-2 + x) = 0.5(4x + -8) (-2 * 3 + x * 3) = 0.5(4x + -8) (-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 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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