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Simplifying 3(x + 7) + x + 4 = 3(x + 4) + 1 Reorder the terms: 3(7 + x) + x + 4 = 3(x + 4) + 1 (7 * 3 + x * 3) + x + 4 = 3(x + 4) + 1 (21 + 3x) + x + 4 = 3(x + 4) + 1 Reorder the terms: 21 + 4 + 3x + x = 3(x + 4) + 1 Combine like terms: 21 + 4 = 25 25 + 3x + x = 3(x + 4) + 1 Combine like terms: 3x + x = 4x 25 + 4x = 3(x + 4) + 1 Reorder the terms: 25 + 4x = 3(4 + x) + 1 25 + 4x = (4 * 3 + x * 3) + 1 25 + 4x = (12 + 3x) + 1 Reorder the terms: 25 + 4x = 12 + 1 + 3x Combine like terms: 12 + 1 = 13 25 + 4x = 13 + 3x Solving 25 + 4x = 13 + 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. 25 + 4x + -3x = 13 + 3x + -3x Combine like terms: 4x + -3x = 1x 25 + 1x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 1x = 13 + 0 25 + 1x = 13 Add '-25' to each side of the equation. 25 + -25 + 1x = 13 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 13 + -25 1x = 13 + -25 Combine like terms: 13 + -25 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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