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Simplifying 1.4(2.5x + -4.5) + -1(6.2 + 2.5x) = -7.3 + 7.5 Reorder the terms: 1.4(-4.5 + 2.5x) + -1(6.2 + 2.5x) = -7.3 + 7.5 (-4.5 * 1.4 + 2.5x * 1.4) + -1(6.2 + 2.5x) = -7.3 + 7.5 (-6.3 + 3.5x) + -1(6.2 + 2.5x) = -7.3 + 7.5 -6.3 + 3.5x + (6.2 * -1 + 2.5x * -1) = -7.3 + 7.5 -6.3 + 3.5x + (-6.2 + -2.5x) = -7.3 + 7.5 Reorder the terms: -6.3 + -6.2 + 3.5x + -2.5x = -7.3 + 7.5 Combine like terms: -6.3 + -6.2 = -12.5 -12.5 + 3.5x + -2.5x = -7.3 + 7.5 Combine like terms: 3.5x + -2.5x = 1x -12.5 + 1x = -7.3 + 7.5 Combine like terms: -7.3 + 7.5 = 0.2 -12.5 + 1x = 0.2 Solving -12.5 + 1x = 0.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + 1x = 0.2 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + 1x = 0.2 + 12.5 1x = 0.2 + 12.5 Combine like terms: 0.2 + 12.5 = 12.7 1x = 12.7 Divide each side by '1'. x = 12.7 Simplifying x = 12.7
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