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Simplifying 4(x + 10) + x = 3(x + 2) Reorder the terms: 4(10 + x) + x = 3(x + 2) (10 * 4 + x * 4) + x = 3(x + 2) (40 + 4x) + x = 3(x + 2) Combine like terms: 4x + x = 5x 40 + 5x = 3(x + 2) Reorder the terms: 40 + 5x = 3(2 + x) 40 + 5x = (2 * 3 + x * 3) 40 + 5x = (6 + 3x) Solving 40 + 5x = 6 + 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 = 6 + 3x + -3x Combine like terms: 5x + -3x = 2x 40 + 2x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 2x = 6 + 0 40 + 2x = 6 Add '-40' to each side of the equation. 40 + -40 + 2x = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 2x = 6 + -40 2x = 6 + -40 Combine like terms: 6 + -40 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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