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Simplifying 4.6x + 5(x + 1) = 0.9x + -82 Reorder the terms: 4.6x + 5(1 + x) = 0.9x + -82 4.6x + (1 * 5 + x * 5) = 0.9x + -82 4.6x + (5 + 5x) = 0.9x + -82 Reorder the terms: 5 + 4.6x + 5x = 0.9x + -82 Combine like terms: 4.6x + 5x = 9.6x 5 + 9.6x = 0.9x + -82 Reorder the terms: 5 + 9.6x = -82 + 0.9x Solving 5 + 9.6x = -82 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 5 + 9.6x + -0.9x = -82 + 0.9x + -0.9x Combine like terms: 9.6x + -0.9x = 8.7x 5 + 8.7x = -82 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 5 + 8.7x = -82 + 0.0 5 + 8.7x = -82 Add '-5' to each side of the equation. 5 + -5 + 8.7x = -82 + -5 Combine like terms: 5 + -5 = 0 0 + 8.7x = -82 + -5 8.7x = -82 + -5 Combine like terms: -82 + -5 = -87 8.7x = -87 Divide each side by '8.7'. x = -10 Simplifying x = -10
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