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Simplifying (0.1x + -27) + (0.3x + -45) = 90 Reorder the terms: (-27 + 0.1x) + (0.3x + -45) = 90 Remove parenthesis around (-27 + 0.1x) -27 + 0.1x + (0.3x + -45) = 90 Reorder the terms: -27 + 0.1x + (-45 + 0.3x) = 90 Remove parenthesis around (-45 + 0.3x) -27 + 0.1x + -45 + 0.3x = 90 Reorder the terms: -27 + -45 + 0.1x + 0.3x = 90 Combine like terms: -27 + -45 = -72 -72 + 0.1x + 0.3x = 90 Combine like terms: 0.1x + 0.3x = 0.4x -72 + 0.4x = 90 Solving -72 + 0.4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 0.4x = 90 + 72 Combine like terms: -72 + 72 = 0 0 + 0.4x = 90 + 72 0.4x = 90 + 72 Combine like terms: 90 + 72 = 162 0.4x = 162 Divide each side by '0.4'. x = 405 Simplifying x = 405
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