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Simplifying 7(x + 7) + -7(8x + -3) = -50(x + -1) + -7 Reorder the terms: 7(7 + x) + -7(8x + -3) = -50(x + -1) + -7 (7 * 7 + x * 7) + -7(8x + -3) = -50(x + -1) + -7 (49 + 7x) + -7(8x + -3) = -50(x + -1) + -7 Reorder the terms: 49 + 7x + -7(-3 + 8x) = -50(x + -1) + -7 49 + 7x + (-3 * -7 + 8x * -7) = -50(x + -1) + -7 49 + 7x + (21 + -56x) = -50(x + -1) + -7 Reorder the terms: 49 + 21 + 7x + -56x = -50(x + -1) + -7 Combine like terms: 49 + 21 = 70 70 + 7x + -56x = -50(x + -1) + -7 Combine like terms: 7x + -56x = -49x 70 + -49x = -50(x + -1) + -7 Reorder the terms: 70 + -49x = -50(-1 + x) + -7 70 + -49x = (-1 * -50 + x * -50) + -7 70 + -49x = (50 + -50x) + -7 Reorder the terms: 70 + -49x = 50 + -7 + -50x Combine like terms: 50 + -7 = 43 70 + -49x = 43 + -50x Solving 70 + -49x = 43 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 70 + -49x + 50x = 43 + -50x + 50x Combine like terms: -49x + 50x = 1x 70 + 1x = 43 + -50x + 50x Combine like terms: -50x + 50x = 0 70 + 1x = 43 + 0 70 + 1x = 43 Add '-70' to each side of the equation. 70 + -70 + 1x = 43 + -70 Combine like terms: 70 + -70 = 0 0 + 1x = 43 + -70 1x = 43 + -70 Combine like terms: 43 + -70 = -27 1x = -27 Divide each side by '1'. x = -27 Simplifying x = -27
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