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Simplifying 2(7 + -1x) + 7x = 8 + -5(x + -1) + 8x + 4 (7 * 2 + -1x * 2) + 7x = 8 + -5(x + -1) + 8x + 4 (14 + -2x) + 7x = 8 + -5(x + -1) + 8x + 4 Combine like terms: -2x + 7x = 5x 14 + 5x = 8 + -5(x + -1) + 8x + 4 Reorder the terms: 14 + 5x = 8 + -5(-1 + x) + 8x + 4 14 + 5x = 8 + (-1 * -5 + x * -5) + 8x + 4 14 + 5x = 8 + (5 + -5x) + 8x + 4 Reorder the terms: 14 + 5x = 8 + 5 + 4 + -5x + 8x Combine like terms: 8 + 5 = 13 14 + 5x = 13 + 4 + -5x + 8x Combine like terms: 13 + 4 = 17 14 + 5x = 17 + -5x + 8x Combine like terms: -5x + 8x = 3x 14 + 5x = 17 + 3x Solving 14 + 5x = 17 + 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. 14 + 5x + -3x = 17 + 3x + -3x Combine like terms: 5x + -3x = 2x 14 + 2x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 2x = 17 + 0 14 + 2x = 17 Add '-14' to each side of the equation. 14 + -14 + 2x = 17 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 17 + -14 2x = 17 + -14 Combine like terms: 17 + -14 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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