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Simplifying 1.3x + -0.5 = 1.5x + -1 Reorder the terms: -0.5 + 1.3x = 1.5x + -1 Reorder the terms: -0.5 + 1.3x = -1 + 1.5x Solving -0.5 + 1.3x = -1 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -0.5 + 1.3x + -1.5x = -1 + 1.5x + -1.5x Combine like terms: 1.3x + -1.5x = -0.2x -0.5 + -0.2x = -1 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -0.5 + -0.2x = -1 + 0.0 -0.5 + -0.2x = -1 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.2x = -1 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.2x = -1 + 0.5 -0.2x = -1 + 0.5 Combine like terms: -1 + 0.5 = -0.5 -0.2x = -0.5 Divide each side by '-0.2'. x = 2.5 Simplifying x = 2.5
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