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Simplifying 9(5 + -2(x + -1)) = 21 + 6(x + 3) Reorder the terms: 9(5 + -2(-1 + x)) = 21 + 6(x + 3) 9(5 + (-1 * -2 + x * -2)) = 21 + 6(x + 3) 9(5 + (2 + -2x)) = 21 + 6(x + 3) Combine like terms: 5 + 2 = 7 9(7 + -2x) = 21 + 6(x + 3) (7 * 9 + -2x * 9) = 21 + 6(x + 3) (63 + -18x) = 21 + 6(x + 3) Reorder the terms: 63 + -18x = 21 + 6(3 + x) 63 + -18x = 21 + (3 * 6 + x * 6) 63 + -18x = 21 + (18 + 6x) Combine like terms: 21 + 18 = 39 63 + -18x = 39 + 6x Solving 63 + -18x = 39 + 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 + -18x + -6x = 39 + 6x + -6x Combine like terms: -18x + -6x = -24x 63 + -24x = 39 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + -24x = 39 + 0 63 + -24x = 39 Add '-63' to each side of the equation. 63 + -63 + -24x = 39 + -63 Combine like terms: 63 + -63 = 0 0 + -24x = 39 + -63 -24x = 39 + -63 Combine like terms: 39 + -63 = -24 -24x = -24 Divide each side by '-24'. x = 1 Simplifying x = 1
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