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Simplifying 7(x + 2) + 4(x + 3) = 3x + 1 Reorder the terms: 7(2 + x) + 4(x + 3) = 3x + 1 (2 * 7 + x * 7) + 4(x + 3) = 3x + 1 (14 + 7x) + 4(x + 3) = 3x + 1 Reorder the terms: 14 + 7x + 4(3 + x) = 3x + 1 14 + 7x + (3 * 4 + x * 4) = 3x + 1 14 + 7x + (12 + 4x) = 3x + 1 Reorder the terms: 14 + 12 + 7x + 4x = 3x + 1 Combine like terms: 14 + 12 = 26 26 + 7x + 4x = 3x + 1 Combine like terms: 7x + 4x = 11x 26 + 11x = 3x + 1 Reorder the terms: 26 + 11x = 1 + 3x Solving 26 + 11x = 1 + 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. 26 + 11x + -3x = 1 + 3x + -3x Combine like terms: 11x + -3x = 8x 26 + 8x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + 8x = 1 + 0 26 + 8x = 1 Add '-26' to each side of the equation. 26 + -26 + 8x = 1 + -26 Combine like terms: 26 + -26 = 0 0 + 8x = 1 + -26 8x = 1 + -26 Combine like terms: 1 + -26 = -25 8x = -25 Divide each side by '8'. x = -3.125 Simplifying x = -3.125
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