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Simplifying 4(x + 4) + 11 = 3(x + 5) + 10 Reorder the terms: 4(4 + x) + 11 = 3(x + 5) + 10 (4 * 4 + x * 4) + 11 = 3(x + 5) + 10 (16 + 4x) + 11 = 3(x + 5) + 10 Reorder the terms: 16 + 11 + 4x = 3(x + 5) + 10 Combine like terms: 16 + 11 = 27 27 + 4x = 3(x + 5) + 10 Reorder the terms: 27 + 4x = 3(5 + x) + 10 27 + 4x = (5 * 3 + x * 3) + 10 27 + 4x = (15 + 3x) + 10 Reorder the terms: 27 + 4x = 15 + 10 + 3x Combine like terms: 15 + 10 = 25 27 + 4x = 25 + 3x Solving 27 + 4x = 25 + 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. 27 + 4x + -3x = 25 + 3x + -3x Combine like terms: 4x + -3x = 1x 27 + 1x = 25 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 1x = 25 + 0 27 + 1x = 25 Add '-27' to each side of the equation. 27 + -27 + 1x = 25 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 25 + -27 1x = 25 + -27 Combine like terms: 25 + -27 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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