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Simplifying 7(3x + 9) = 11 + -1(x + 13) Reorder the terms: 7(9 + 3x) = 11 + -1(x + 13) (9 * 7 + 3x * 7) = 11 + -1(x + 13) (63 + 21x) = 11 + -1(x + 13) Reorder the terms: 63 + 21x = 11 + -1(13 + x) 63 + 21x = 11 + (13 * -1 + x * -1) 63 + 21x = 11 + (-13 + -1x) Combine like terms: 11 + -13 = -2 63 + 21x = -2 + -1x Solving 63 + 21x = -2 + -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 + 21x + x = -2 + -1x + x Combine like terms: 21x + x = 22x 63 + 22x = -2 + -1x + x Combine like terms: -1x + x = 0 63 + 22x = -2 + 0 63 + 22x = -2 Add '-63' to each side of the equation. 63 + -63 + 22x = -2 + -63 Combine like terms: 63 + -63 = 0 0 + 22x = -2 + -63 22x = -2 + -63 Combine like terms: -2 + -63 = -65 22x = -65 Divide each side by '22'. x = -2.954545455 Simplifying x = -2.954545455
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