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Simplifying -64.2112 + -12.5x = -8.7 + -2.12(7.4x + -5.6) Reorder the terms: -64.2112 + -12.5x = -8.7 + -2.12(-5.6 + 7.4x) -64.2112 + -12.5x = -8.7 + (-5.6 * -2.12 + 7.4x * -2.12) -64.2112 + -12.5x = -8.7 + (11.872 + -15.688x) Combine like terms: -8.7 + 11.872 = 3.172 -64.2112 + -12.5x = 3.172 + -15.688x Solving -64.2112 + -12.5x = 3.172 + -15.688x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15.688x' to each side of the equation. -64.2112 + -12.5x + 15.688x = 3.172 + -15.688x + 15.688x Combine like terms: -12.5x + 15.688x = 3.188x -64.2112 + 3.188x = 3.172 + -15.688x + 15.688x Combine like terms: -15.688x + 15.688x = 0.000 -64.2112 + 3.188x = 3.172 + 0.000 -64.2112 + 3.188x = 3.172 Add '64.2112' to each side of the equation. -64.2112 + 64.2112 + 3.188x = 3.172 + 64.2112 Combine like terms: -64.2112 + 64.2112 = 0.0000 0.0000 + 3.188x = 3.172 + 64.2112 3.188x = 3.172 + 64.2112 Combine like terms: 3.172 + 64.2112 = 67.3832 3.188x = 67.3832 Divide each side by '3.188'. x = 21.13651192 Simplifying x = 21.13651192
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