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Simplifying 5(3x + 10) + -2(2x + 9) = 4 + -9(3x + 2) Reorder the terms: 5(10 + 3x) + -2(2x + 9) = 4 + -9(3x + 2) (10 * 5 + 3x * 5) + -2(2x + 9) = 4 + -9(3x + 2) (50 + 15x) + -2(2x + 9) = 4 + -9(3x + 2) Reorder the terms: 50 + 15x + -2(9 + 2x) = 4 + -9(3x + 2) 50 + 15x + (9 * -2 + 2x * -2) = 4 + -9(3x + 2) 50 + 15x + (-18 + -4x) = 4 + -9(3x + 2) Reorder the terms: 50 + -18 + 15x + -4x = 4 + -9(3x + 2) Combine like terms: 50 + -18 = 32 32 + 15x + -4x = 4 + -9(3x + 2) Combine like terms: 15x + -4x = 11x 32 + 11x = 4 + -9(3x + 2) Reorder the terms: 32 + 11x = 4 + -9(2 + 3x) 32 + 11x = 4 + (2 * -9 + 3x * -9) 32 + 11x = 4 + (-18 + -27x) Combine like terms: 4 + -18 = -14 32 + 11x = -14 + -27x Solving 32 + 11x = -14 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 32 + 11x + 27x = -14 + -27x + 27x Combine like terms: 11x + 27x = 38x 32 + 38x = -14 + -27x + 27x Combine like terms: -27x + 27x = 0 32 + 38x = -14 + 0 32 + 38x = -14 Add '-32' to each side of the equation. 32 + -32 + 38x = -14 + -32 Combine like terms: 32 + -32 = 0 0 + 38x = -14 + -32 38x = -14 + -32 Combine like terms: -14 + -32 = -46 38x = -46 Divide each side by '38'. x = -1.210526316 Simplifying x = -1.210526316
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