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Simplifying 7(x + 9) + -2(1 + -8x) = 22(x + 3) + -9 Reorder the terms: 7(9 + x) + -2(1 + -8x) = 22(x + 3) + -9 (9 * 7 + x * 7) + -2(1 + -8x) = 22(x + 3) + -9 (63 + 7x) + -2(1 + -8x) = 22(x + 3) + -9 63 + 7x + (1 * -2 + -8x * -2) = 22(x + 3) + -9 63 + 7x + (-2 + 16x) = 22(x + 3) + -9 Reorder the terms: 63 + -2 + 7x + 16x = 22(x + 3) + -9 Combine like terms: 63 + -2 = 61 61 + 7x + 16x = 22(x + 3) + -9 Combine like terms: 7x + 16x = 23x 61 + 23x = 22(x + 3) + -9 Reorder the terms: 61 + 23x = 22(3 + x) + -9 61 + 23x = (3 * 22 + x * 22) + -9 61 + 23x = (66 + 22x) + -9 Reorder the terms: 61 + 23x = 66 + -9 + 22x Combine like terms: 66 + -9 = 57 61 + 23x = 57 + 22x Solving 61 + 23x = 57 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 61 + 23x + -22x = 57 + 22x + -22x Combine like terms: 23x + -22x = 1x 61 + 1x = 57 + 22x + -22x Combine like terms: 22x + -22x = 0 61 + 1x = 57 + 0 61 + 1x = 57 Add '-61' to each side of the equation. 61 + -61 + 1x = 57 + -61 Combine like terms: 61 + -61 = 0 0 + 1x = 57 + -61 1x = 57 + -61 Combine like terms: 57 + -61 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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