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Simplifying 9.1(1 + -1x) + 5x = -4.2(x + -8) (1 * 9.1 + -1x * 9.1) + 5x = -4.2(x + -8) (9.1 + -9.1x) + 5x = -4.2(x + -8) Combine like terms: -9.1x + 5x = -4.1x 9.1 + -4.1x = -4.2(x + -8) Reorder the terms: 9.1 + -4.1x = -4.2(-8 + x) 9.1 + -4.1x = (-8 * -4.2 + x * -4.2) 9.1 + -4.1x = (33.6 + -4.2x) Solving 9.1 + -4.1x = 33.6 + -4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.2x' to each side of the equation. 9.1 + -4.1x + 4.2x = 33.6 + -4.2x + 4.2x Combine like terms: -4.1x + 4.2x = 0.1x 9.1 + 0.1x = 33.6 + -4.2x + 4.2x Combine like terms: -4.2x + 4.2x = 0.0 9.1 + 0.1x = 33.6 + 0.0 9.1 + 0.1x = 33.6 Add '-9.1' to each side of the equation. 9.1 + -9.1 + 0.1x = 33.6 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + 0.1x = 33.6 + -9.1 0.1x = 33.6 + -9.1 Combine like terms: 33.6 + -9.1 = 24.5 0.1x = 24.5 Divide each side by '0.1'. x = 245 Simplifying x = 245
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