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Simplifying 4(x + 2) + 4 = 5(x + 1) + 4 Reorder the terms: 4(2 + x) + 4 = 5(x + 1) + 4 (2 * 4 + x * 4) + 4 = 5(x + 1) + 4 (8 + 4x) + 4 = 5(x + 1) + 4 Reorder the terms: 8 + 4 + 4x = 5(x + 1) + 4 Combine like terms: 8 + 4 = 12 12 + 4x = 5(x + 1) + 4 Reorder the terms: 12 + 4x = 5(1 + x) + 4 12 + 4x = (1 * 5 + x * 5) + 4 12 + 4x = (5 + 5x) + 4 Reorder the terms: 12 + 4x = 5 + 4 + 5x Combine like terms: 5 + 4 = 9 12 + 4x = 9 + 5x Solving 12 + 4x = 9 + 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. 12 + 4x + -5x = 9 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = 9 + 0 12 + -1x = 9 Add '-12' to each side of the equation. 12 + -12 + -1x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 9 + -12 -1x = 9 + -12 Combine like terms: 9 + -12 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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