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Simplifying 4(x + 10) + x = 3(x + 5) + 2 Reorder the terms: 4(10 + x) + x = 3(x + 5) + 2 (10 * 4 + x * 4) + x = 3(x + 5) + 2 (40 + 4x) + x = 3(x + 5) + 2 Combine like terms: 4x + x = 5x 40 + 5x = 3(x + 5) + 2 Reorder the terms: 40 + 5x = 3(5 + x) + 2 40 + 5x = (5 * 3 + x * 3) + 2 40 + 5x = (15 + 3x) + 2 Reorder the terms: 40 + 5x = 15 + 2 + 3x Combine like terms: 15 + 2 = 17 40 + 5x = 17 + 3x Solving 40 + 5x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 40 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x 40 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 2x = 17 + 0 40 + 2x = 17 Add '-40' to each side of the equation. 40 + -40 + 2x = 17 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 17 + -40 2x = 17 + -40 Combine like terms: 17 + -40 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5
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