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Simplifying 0.9(5 + -2x) + 0.6(2.5x + -4) = 7.2 (5 * 0.9 + -2x * 0.9) + 0.6(2.5x + -4) = 7.2 (4.5 + -1.8x) + 0.6(2.5x + -4) = 7.2 Reorder the terms: 4.5 + -1.8x + 0.6(-4 + 2.5x) = 7.2 4.5 + -1.8x + (-4 * 0.6 + 2.5x * 0.6) = 7.2 4.5 + -1.8x + (-2.4 + 1.5x) = 7.2 Reorder the terms: 4.5 + -2.4 + -1.8x + 1.5x = 7.2 Combine like terms: 4.5 + -2.4 = 2.1 2.1 + -1.8x + 1.5x = 7.2 Combine like terms: -1.8x + 1.5x = -0.3x 2.1 + -0.3x = 7.2 Solving 2.1 + -0.3x = 7.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.3x = 7.2 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.3x = 7.2 + -2.1 -0.3x = 7.2 + -2.1 Combine like terms: 7.2 + -2.1 = 5.1 -0.3x = 5.1 Divide each side by '-0.3'. x = -17 Simplifying x = -17
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