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Simplifying 7(7x + 9) = 34 + -1(x + -3) Reorder the terms: 7(9 + 7x) = 34 + -1(x + -3) (9 * 7 + 7x * 7) = 34 + -1(x + -3) (63 + 49x) = 34 + -1(x + -3) Reorder the terms: 63 + 49x = 34 + -1(-3 + x) 63 + 49x = 34 + (-3 * -1 + x * -1) 63 + 49x = 34 + (3 + -1x) Combine like terms: 34 + 3 = 37 63 + 49x = 37 + -1x Solving 63 + 49x = 37 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 63 + 49x + x = 37 + -1x + x Combine like terms: 49x + x = 50x 63 + 50x = 37 + -1x + x Combine like terms: -1x + x = 0 63 + 50x = 37 + 0 63 + 50x = 37 Add '-63' to each side of the equation. 63 + -63 + 50x = 37 + -63 Combine like terms: 63 + -63 = 0 0 + 50x = 37 + -63 50x = 37 + -63 Combine like terms: 37 + -63 = -26 50x = -26 Divide each side by '50'. x = -0.52 Simplifying x = -0.52
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