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Simplifying 5(4x + 2) + 4(2x + 3) + 9 = x + 10 Reorder the terms: 5(2 + 4x) + 4(2x + 3) + 9 = x + 10 (2 * 5 + 4x * 5) + 4(2x + 3) + 9 = x + 10 (10 + 20x) + 4(2x + 3) + 9 = x + 10 Reorder the terms: 10 + 20x + 4(3 + 2x) + 9 = x + 10 10 + 20x + (3 * 4 + 2x * 4) + 9 = x + 10 10 + 20x + (12 + 8x) + 9 = x + 10 Reorder the terms: 10 + 12 + 9 + 20x + 8x = x + 10 Combine like terms: 10 + 12 = 22 22 + 9 + 20x + 8x = x + 10 Combine like terms: 22 + 9 = 31 31 + 20x + 8x = x + 10 Combine like terms: 20x + 8x = 28x 31 + 28x = x + 10 Reorder the terms: 31 + 28x = 10 + x Solving 31 + 28x = 10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 31 + 28x + -1x = 10 + x + -1x Combine like terms: 28x + -1x = 27x 31 + 27x = 10 + x + -1x Combine like terms: x + -1x = 0 31 + 27x = 10 + 0 31 + 27x = 10 Add '-31' to each side of the equation. 31 + -31 + 27x = 10 + -31 Combine like terms: 31 + -31 = 0 0 + 27x = 10 + -31 27x = 10 + -31 Combine like terms: 10 + -31 = -21 27x = -21 Divide each side by '27'. x = -0.7777777778 Simplifying x = -0.7777777778
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