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