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Simplifying 2(3x + 4) = 7(5x + -4) + 1 + x Reorder the terms: 2(4 + 3x) = 7(5x + -4) + 1 + x (4 * 2 + 3x * 2) = 7(5x + -4) + 1 + x (8 + 6x) = 7(5x + -4) + 1 + x Reorder the terms: 8 + 6x = 7(-4 + 5x) + 1 + x 8 + 6x = (-4 * 7 + 5x * 7) + 1 + x 8 + 6x = (-28 + 35x) + 1 + x Reorder the terms: 8 + 6x = -28 + 1 + 35x + x Combine like terms: -28 + 1 = -27 8 + 6x = -27 + 35x + x Combine like terms: 35x + x = 36x 8 + 6x = -27 + 36x Solving 8 + 6x = -27 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 8 + 6x + -36x = -27 + 36x + -36x Combine like terms: 6x + -36x = -30x 8 + -30x = -27 + 36x + -36x Combine like terms: 36x + -36x = 0 8 + -30x = -27 + 0 8 + -30x = -27 Add '-8' to each side of the equation. 8 + -8 + -30x = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -30x = -27 + -8 -30x = -27 + -8 Combine like terms: -27 + -8 = -35 -30x = -35 Divide each side by '-30'. x = 1.166666667 Simplifying x = 1.166666667
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