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Simplifying 7(x + 9.2) = 3(5.2 + -1x) Reorder the terms: 7(9.2 + x) = 3(5.2 + -1x) (9.2 * 7 + x * 7) = 3(5.2 + -1x) (64.4 + 7x) = 3(5.2 + -1x) 64.4 + 7x = (5.2 * 3 + -1x * 3) 64.4 + 7x = (15.6 + -3x) Solving 64.4 + 7x = 15.6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 64.4 + 7x + 3x = 15.6 + -3x + 3x Combine like terms: 7x + 3x = 10x 64.4 + 10x = 15.6 + -3x + 3x Combine like terms: -3x + 3x = 0 64.4 + 10x = 15.6 + 0 64.4 + 10x = 15.6 Add '-64.4' to each side of the equation. 64.4 + -64.4 + 10x = 15.6 + -64.4 Combine like terms: 64.4 + -64.4 = 0.0 0.0 + 10x = 15.6 + -64.4 10x = 15.6 + -64.4 Combine like terms: 15.6 + -64.4 = -48.8 10x = -48.8 Divide each side by '10'. x = -4.88 Simplifying x = -4.88
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