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Simplifying 9(x + 5) + -3(1 + 9x) = 11x + 10 + x + 2 Reorder the terms: 9(5 + x) + -3(1 + 9x) = 11x + 10 + x + 2 (5 * 9 + x * 9) + -3(1 + 9x) = 11x + 10 + x + 2 (45 + 9x) + -3(1 + 9x) = 11x + 10 + x + 2 45 + 9x + (1 * -3 + 9x * -3) = 11x + 10 + x + 2 45 + 9x + (-3 + -27x) = 11x + 10 + x + 2 Reorder the terms: 45 + -3 + 9x + -27x = 11x + 10 + x + 2 Combine like terms: 45 + -3 = 42 42 + 9x + -27x = 11x + 10 + x + 2 Combine like terms: 9x + -27x = -18x 42 + -18x = 11x + 10 + x + 2 Reorder the terms: 42 + -18x = 10 + 2 + 11x + x Combine like terms: 10 + 2 = 12 42 + -18x = 12 + 11x + x Combine like terms: 11x + x = 12x 42 + -18x = 12 + 12x Solving 42 + -18x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 42 + -18x + -12x = 12 + 12x + -12x Combine like terms: -18x + -12x = -30x 42 + -30x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 42 + -30x = 12 + 0 42 + -30x = 12 Add '-42' to each side of the equation. 42 + -42 + -30x = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -30x = 12 + -42 -30x = 12 + -42 Combine like terms: 12 + -42 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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