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Simplifying 0.50(x + -4) = 3(x + 2) Reorder the terms: 0.50(-4 + x) = 3(x + 2) (-4 * 0.50 + x * 0.50) = 3(x + 2) (-2 + 0.50x) = 3(x + 2) Reorder the terms: -2 + 0.50x = 3(2 + x) -2 + 0.50x = (2 * 3 + x * 3) -2 + 0.50x = (6 + 3x) Solving -2 + 0.50x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 0.50x + -3x = 6 + 3x + -3x Combine like terms: 0.50x + -3x = -2.5x -2 + -2.5x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2.5x = 6 + 0 -2 + -2.5x = 6 Add '2' to each side of the equation. -2 + 2 + -2.5x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -2.5x = 6 + 2 -2.5x = 6 + 2 Combine like terms: 6 + 2 = 8 -2.5x = 8 Divide each side by '-2.5'. x = -3.2 Simplifying x = -3.2
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