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Simplifying 1.2(x + -0.6) + 1.3x = 1.3(x + 1.3) + -0.25 Reorder the terms: 1.2(-0.6 + x) + 1.3x = 1.3(x + 1.3) + -0.25 (-0.6 * 1.2 + x * 1.2) + 1.3x = 1.3(x + 1.3) + -0.25 (-0.72 + 1.2x) + 1.3x = 1.3(x + 1.3) + -0.25 Combine like terms: 1.2x + 1.3x = 2.5x -0.72 + 2.5x = 1.3(x + 1.3) + -0.25 Reorder the terms: -0.72 + 2.5x = 1.3(1.3 + x) + -0.25 -0.72 + 2.5x = (1.3 * 1.3 + x * 1.3) + -0.25 -0.72 + 2.5x = (1.69 + 1.3x) + -0.25 Reorder the terms: -0.72 + 2.5x = 1.69 + -0.25 + 1.3x Combine like terms: 1.69 + -0.25 = 1.44 -0.72 + 2.5x = 1.44 + 1.3x Solving -0.72 + 2.5x = 1.44 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -0.72 + 2.5x + -1.3x = 1.44 + 1.3x + -1.3x Combine like terms: 2.5x + -1.3x = 1.2x -0.72 + 1.2x = 1.44 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -0.72 + 1.2x = 1.44 + 0.0 -0.72 + 1.2x = 1.44 Add '0.72' to each side of the equation. -0.72 + 0.72 + 1.2x = 1.44 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 1.2x = 1.44 + 0.72 1.2x = 1.44 + 0.72 Combine like terms: 1.44 + 0.72 = 2.16 1.2x = 2.16 Divide each side by '1.2'. x = 1.8 Simplifying x = 1.8
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