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Simplifying 7(x + 9) = 3(2x + 19) Reorder the terms: 7(9 + x) = 3(2x + 19) (9 * 7 + x * 7) = 3(2x + 19) (63 + 7x) = 3(2x + 19) Reorder the terms: 63 + 7x = 3(19 + 2x) 63 + 7x = (19 * 3 + 2x * 3) 63 + 7x = (57 + 6x) Solving 63 + 7x = 57 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 63 + 7x + -6x = 57 + 6x + -6x Combine like terms: 7x + -6x = 1x 63 + 1x = 57 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + 1x = 57 + 0 63 + 1x = 57 Add '-63' to each side of the equation. 63 + -63 + 1x = 57 + -63 Combine like terms: 63 + -63 = 0 0 + 1x = 57 + -63 1x = 57 + -63 Combine like terms: 57 + -63 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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