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Simplifying 6 + -7(x + 1) + 19 = 17 + 5(2x + -1) + -15 + 4(8x + 7) Reorder the terms: 6 + -7(1 + x) + 19 = 17 + 5(2x + -1) + -15 + 4(8x + 7) 6 + (1 * -7 + x * -7) + 19 = 17 + 5(2x + -1) + -15 + 4(8x + 7) 6 + (-7 + -7x) + 19 = 17 + 5(2x + -1) + -15 + 4(8x + 7) Reorder the terms: 6 + -7 + 19 + -7x = 17 + 5(2x + -1) + -15 + 4(8x + 7) Combine like terms: 6 + -7 = -1 -1 + 19 + -7x = 17 + 5(2x + -1) + -15 + 4(8x + 7) Combine like terms: -1 + 19 = 18 18 + -7x = 17 + 5(2x + -1) + -15 + 4(8x + 7) Reorder the terms: 18 + -7x = 17 + 5(-1 + 2x) + -15 + 4(8x + 7) 18 + -7x = 17 + (-1 * 5 + 2x * 5) + -15 + 4(8x + 7) 18 + -7x = 17 + (-5 + 10x) + -15 + 4(8x + 7) Reorder the terms: 18 + -7x = 17 + -5 + 10x + -15 + 4(7 + 8x) 18 + -7x = 17 + -5 + 10x + -15 + (7 * 4 + 8x * 4) 18 + -7x = 17 + -5 + 10x + -15 + (28 + 32x) Reorder the terms: 18 + -7x = 17 + -5 + -15 + 28 + 10x + 32x Combine like terms: 17 + -5 = 12 18 + -7x = 12 + -15 + 28 + 10x + 32x Combine like terms: 12 + -15 = -3 18 + -7x = -3 + 28 + 10x + 32x Combine like terms: -3 + 28 = 25 18 + -7x = 25 + 10x + 32x Combine like terms: 10x + 32x = 42x 18 + -7x = 25 + 42x Solving 18 + -7x = 25 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 18 + -7x + -42x = 25 + 42x + -42x Combine like terms: -7x + -42x = -49x 18 + -49x = 25 + 42x + -42x Combine like terms: 42x + -42x = 0 18 + -49x = 25 + 0 18 + -49x = 25 Add '-18' to each side of the equation. 18 + -18 + -49x = 25 + -18 Combine like terms: 18 + -18 = 0 0 + -49x = 25 + -18 -49x = 25 + -18 Combine like terms: 25 + -18 = 7 -49x = 7 Divide each side by '-49'. x = -0.1428571429 Simplifying x = -0.1428571429
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