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Simplifying 0.5x + -18 = -2(x + 4) Reorder the terms: -18 + 0.5x = -2(x + 4) Reorder the terms: -18 + 0.5x = -2(4 + x) -18 + 0.5x = (4 * -2 + x * -2) -18 + 0.5x = (-8 + -2x) Solving -18 + 0.5x = -8 + -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. -18 + 0.5x + 2x = -8 + -2x + 2x Combine like terms: 0.5x + 2x = 2.5x -18 + 2.5x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 2.5x = -8 + 0 -18 + 2.5x = -8 Add '18' to each side of the equation. -18 + 18 + 2.5x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 2.5x = -8 + 18 2.5x = -8 + 18 Combine like terms: -8 + 18 = 10 2.5x = 10 Divide each side by '2.5'. x = 4 Simplifying x = 4
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