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Simplifying 0.5x + 4(x + -2) = 2(3x + 5) Reorder the terms: 0.5x + 4(-2 + x) = 2(3x + 5) 0.5x + (-2 * 4 + x * 4) = 2(3x + 5) 0.5x + (-8 + 4x) = 2(3x + 5) Reorder the terms: -8 + 0.5x + 4x = 2(3x + 5) Combine like terms: 0.5x + 4x = 4.5x -8 + 4.5x = 2(3x + 5) Reorder the terms: -8 + 4.5x = 2(5 + 3x) -8 + 4.5x = (5 * 2 + 3x * 2) -8 + 4.5x = (10 + 6x) Solving -8 + 4.5x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 4.5x + -6x = 10 + 6x + -6x Combine like terms: 4.5x + -6x = -1.5x -8 + -1.5x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -1.5x = 10 + 0 -8 + -1.5x = 10 Add '8' to each side of the equation. -8 + 8 + -1.5x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -1.5x = 10 + 8 -1.5x = 10 + 8 Combine like terms: 10 + 8 = 18 -1.5x = 18 Divide each side by '-1.5'. x = -12 Simplifying x = -12
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