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Simplifying 10(4x + 3) + 2(5x + 5) + 3(5 + 5) = 27 Reorder the terms: 10(3 + 4x) + 2(5x + 5) + 3(5 + 5) = 27 (3 * 10 + 4x * 10) + 2(5x + 5) + 3(5 + 5) = 27 (30 + 40x) + 2(5x + 5) + 3(5 + 5) = 27 Reorder the terms: 30 + 40x + 2(5 + 5x) + 3(5 + 5) = 27 30 + 40x + (5 * 2 + 5x * 2) + 3(5 + 5) = 27 30 + 40x + (10 + 10x) + 3(5 + 5) = 27 Combine like terms: 5 + 5 = 10 30 + 40x + 10 + 10x + 3(10) = 27 Multiply 3 * 10 30 + 40x + 10 + 10x + 30 = 27 Reorder the terms: 30 + 10 + 30 + 40x + 10x = 27 Combine like terms: 30 + 10 = 40 40 + 30 + 40x + 10x = 27 Combine like terms: 40 + 30 = 70 70 + 40x + 10x = 27 Combine like terms: 40x + 10x = 50x 70 + 50x = 27 Solving 70 + 50x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 50x = 27 + -70 Combine like terms: 70 + -70 = 0 0 + 50x = 27 + -70 50x = 27 + -70 Combine like terms: 27 + -70 = -43 50x = -43 Divide each side by '50'. x = -0.86 Simplifying x = -0.86
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