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Simplifying 8(x + 7) = 8x + -1(49x + -14) Reorder the terms: 8(7 + x) = 8x + -1(49x + -14) (7 * 8 + x * 8) = 8x + -1(49x + -14) (56 + 8x) = 8x + -1(49x + -14) Reorder the terms: 56 + 8x = 8x + -1(-14 + 49x) 56 + 8x = 8x + (-14 * -1 + 49x * -1) 56 + 8x = 8x + (14 + -49x) Reorder the terms: 56 + 8x = 14 + 8x + -49x Combine like terms: 8x + -49x = -41x 56 + 8x = 14 + -41x Solving 56 + 8x = 14 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. 56 + 8x + 41x = 14 + -41x + 41x Combine like terms: 8x + 41x = 49x 56 + 49x = 14 + -41x + 41x Combine like terms: -41x + 41x = 0 56 + 49x = 14 + 0 56 + 49x = 14 Add '-56' to each side of the equation. 56 + -56 + 49x = 14 + -56 Combine like terms: 56 + -56 = 0 0 + 49x = 14 + -56 49x = 14 + -56 Combine like terms: 14 + -56 = -42 49x = -42 Divide each side by '49'. x = -0.8571428571 Simplifying x = -0.8571428571
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