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Simplifying 2(4x + 7) = 2(1 + 5x) + -2 + x Reorder the terms: 2(7 + 4x) = 2(1 + 5x) + -2 + x (7 * 2 + 4x * 2) = 2(1 + 5x) + -2 + x (14 + 8x) = 2(1 + 5x) + -2 + x 14 + 8x = (1 * 2 + 5x * 2) + -2 + x 14 + 8x = (2 + 10x) + -2 + x Reorder the terms: 14 + 8x = 2 + -2 + 10x + x Combine like terms: 2 + -2 = 0 14 + 8x = 0 + 10x + x 14 + 8x = 10x + x Combine like terms: 10x + x = 11x 14 + 8x = 11x Solving 14 + 8x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 14 + 8x + -11x = 11x + -11x Combine like terms: 8x + -11x = -3x 14 + -3x = 11x + -11x Combine like terms: 11x + -11x = 0 14 + -3x = 0 Add '-14' to each side of the equation. 14 + -14 + -3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = 0 + -14 -3x = 0 + -14 Combine like terms: 0 + -14 = -14 -3x = -14 Divide each side by '-3'. x = 4.666666667 Simplifying x = 4.666666667
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