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Simplifying 7(x + 9) + x = 2(x + 3) + 7 Reorder the terms: 7(9 + x) + x = 2(x + 3) + 7 (9 * 7 + x * 7) + x = 2(x + 3) + 7 (63 + 7x) + x = 2(x + 3) + 7 Combine like terms: 7x + x = 8x 63 + 8x = 2(x + 3) + 7 Reorder the terms: 63 + 8x = 2(3 + x) + 7 63 + 8x = (3 * 2 + x * 2) + 7 63 + 8x = (6 + 2x) + 7 Reorder the terms: 63 + 8x = 6 + 7 + 2x Combine like terms: 6 + 7 = 13 63 + 8x = 13 + 2x Solving 63 + 8x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 63 + 8x + -2x = 13 + 2x + -2x Combine like terms: 8x + -2x = 6x 63 + 6x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 63 + 6x = 13 + 0 63 + 6x = 13 Add '-63' to each side of the equation. 63 + -63 + 6x = 13 + -63 Combine like terms: 63 + -63 = 0 0 + 6x = 13 + -63 6x = 13 + -63 Combine like terms: 13 + -63 = -50 6x = -50 Divide each side by '6'. x = -8.333333333 Simplifying x = -8.333333333
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