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Simplifying 4(x + 2) + 11 = 5(x + 1) + 12 Reorder the terms: 4(2 + x) + 11 = 5(x + 1) + 12 (2 * 4 + x * 4) + 11 = 5(x + 1) + 12 (8 + 4x) + 11 = 5(x + 1) + 12 Reorder the terms: 8 + 11 + 4x = 5(x + 1) + 12 Combine like terms: 8 + 11 = 19 19 + 4x = 5(x + 1) + 12 Reorder the terms: 19 + 4x = 5(1 + x) + 12 19 + 4x = (1 * 5 + x * 5) + 12 19 + 4x = (5 + 5x) + 12 Reorder the terms: 19 + 4x = 5 + 12 + 5x Combine like terms: 5 + 12 = 17 19 + 4x = 17 + 5x Solving 19 + 4x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 19 + 4x + -5x = 17 + 5x + -5x Combine like terms: 4x + -5x = -1x 19 + -1x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 19 + -1x = 17 + 0 19 + -1x = 17 Add '-19' to each side of the equation. 19 + -19 + -1x = 17 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 17 + -19 -1x = 17 + -19 Combine like terms: 17 + -19 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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