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Simplifying 4(x + 4) + 11 = 2(x + 6) + 9 Reorder the terms: 4(4 + x) + 11 = 2(x + 6) + 9 (4 * 4 + x * 4) + 11 = 2(x + 6) + 9 (16 + 4x) + 11 = 2(x + 6) + 9 Reorder the terms: 16 + 11 + 4x = 2(x + 6) + 9 Combine like terms: 16 + 11 = 27 27 + 4x = 2(x + 6) + 9 Reorder the terms: 27 + 4x = 2(6 + x) + 9 27 + 4x = (6 * 2 + x * 2) + 9 27 + 4x = (12 + 2x) + 9 Reorder the terms: 27 + 4x = 12 + 9 + 2x Combine like terms: 12 + 9 = 21 27 + 4x = 21 + 2x Solving 27 + 4x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 4x + -2x = 21 + 2x + -2x Combine like terms: 4x + -2x = 2x 27 + 2x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 2x = 21 + 0 27 + 2x = 21 Add '-27' to each side of the equation. 27 + -27 + 2x = 21 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 21 + -27 2x = 21 + -27 Combine like terms: 21 + -27 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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