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Simplifying 7(x + 9) + x = 2(x + 2) + -8 Reorder the terms: 7(9 + x) + x = 2(x + 2) + -8 (9 * 7 + x * 7) + x = 2(x + 2) + -8 (63 + 7x) + x = 2(x + 2) + -8 Combine like terms: 7x + x = 8x 63 + 8x = 2(x + 2) + -8 Reorder the terms: 63 + 8x = 2(2 + x) + -8 63 + 8x = (2 * 2 + x * 2) + -8 63 + 8x = (4 + 2x) + -8 Reorder the terms: 63 + 8x = 4 + -8 + 2x Combine like terms: 4 + -8 = -4 63 + 8x = -4 + 2x Solving 63 + 8x = -4 + 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 = -4 + 2x + -2x Combine like terms: 8x + -2x = 6x 63 + 6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 63 + 6x = -4 + 0 63 + 6x = -4 Add '-63' to each side of the equation. 63 + -63 + 6x = -4 + -63 Combine like terms: 63 + -63 = 0 0 + 6x = -4 + -63 6x = -4 + -63 Combine like terms: -4 + -63 = -67 6x = -67 Divide each side by '6'. x = -11.16666667 Simplifying x = -11.16666667
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