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Simplifying 1.5x + -1.2x + -3 = 0.5x + -5 Reorder the terms: -3 + 1.5x + -1.2x = 0.5x + -5 Combine like terms: 1.5x + -1.2x = 0.3x -3 + 0.3x = 0.5x + -5 Reorder the terms: -3 + 0.3x = -5 + 0.5x Solving -3 + 0.3x = -5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -3 + 0.3x + -0.5x = -5 + 0.5x + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x -3 + -0.2x = -5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + -0.2x = -5 + 0.0 -3 + -0.2x = -5 Add '3' to each side of the equation. -3 + 3 + -0.2x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -0.2x = -5 + 3 -0.2x = -5 + 3 Combine like terms: -5 + 3 = -2 -0.2x = -2 Divide each side by '-0.2'. x = 10 Simplifying x = 10
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