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Simplifying 2(3x + 4) + 2(4x + 3) = 8x + 1 Reorder the terms: 2(4 + 3x) + 2(4x + 3) = 8x + 1 (4 * 2 + 3x * 2) + 2(4x + 3) = 8x + 1 (8 + 6x) + 2(4x + 3) = 8x + 1 Reorder the terms: 8 + 6x + 2(3 + 4x) = 8x + 1 8 + 6x + (3 * 2 + 4x * 2) = 8x + 1 8 + 6x + (6 + 8x) = 8x + 1 Reorder the terms: 8 + 6 + 6x + 8x = 8x + 1 Combine like terms: 8 + 6 = 14 14 + 6x + 8x = 8x + 1 Combine like terms: 6x + 8x = 14x 14 + 14x = 8x + 1 Reorder the terms: 14 + 14x = 1 + 8x Solving 14 + 14x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14 + 14x + -8x = 1 + 8x + -8x Combine like terms: 14x + -8x = 6x 14 + 6x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + 6x = 1 + 0 14 + 6x = 1 Add '-14' to each side of the equation. 14 + -14 + 6x = 1 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 1 + -14 6x = 1 + -14 Combine like terms: 1 + -14 = -13 6x = -13 Divide each side by '6'. x = -2.166666667 Simplifying x = -2.166666667
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