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Simplifying 4(x + 7) + x = 3(x + 4) + 2 Reorder the terms: 4(7 + x) + x = 3(x + 4) + 2 (7 * 4 + x * 4) + x = 3(x + 4) + 2 (28 + 4x) + x = 3(x + 4) + 2 Combine like terms: 4x + x = 5x 28 + 5x = 3(x + 4) + 2 Reorder the terms: 28 + 5x = 3(4 + x) + 2 28 + 5x = (4 * 3 + x * 3) + 2 28 + 5x = (12 + 3x) + 2 Reorder the terms: 28 + 5x = 12 + 2 + 3x Combine like terms: 12 + 2 = 14 28 + 5x = 14 + 3x Solving 28 + 5x = 14 + 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. 28 + 5x + -3x = 14 + 3x + -3x Combine like terms: 5x + -3x = 2x 28 + 2x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + 2x = 14 + 0 28 + 2x = 14 Add '-28' to each side of the equation. 28 + -28 + 2x = 14 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 14 + -28 2x = 14 + -28 Combine like terms: 14 + -28 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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