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Simplifying 0.5x + -18 = 1.2x + -25 Reorder the terms: -18 + 0.5x = 1.2x + -25 Reorder the terms: -18 + 0.5x = -25 + 1.2x Solving -18 + 0.5x = -25 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -18 + 0.5x + -1.2x = -25 + 1.2x + -1.2x Combine like terms: 0.5x + -1.2x = -0.7x -18 + -0.7x = -25 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -18 + -0.7x = -25 + 0.0 -18 + -0.7x = -25 Add '18' to each side of the equation. -18 + 18 + -0.7x = -25 + 18 Combine like terms: -18 + 18 = 0 0 + -0.7x = -25 + 18 -0.7x = -25 + 18 Combine like terms: -25 + 18 = -7 -0.7x = -7 Divide each side by '-0.7'. x = 10 Simplifying x = 10
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