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Simplifying 9(2x + 6) + -1(x + 3) = 4x + -18 Reorder the terms: 9(6 + 2x) + -1(x + 3) = 4x + -18 (6 * 9 + 2x * 9) + -1(x + 3) = 4x + -18 (54 + 18x) + -1(x + 3) = 4x + -18 Reorder the terms: 54 + 18x + -1(3 + x) = 4x + -18 54 + 18x + (3 * -1 + x * -1) = 4x + -18 54 + 18x + (-3 + -1x) = 4x + -18 Reorder the terms: 54 + -3 + 18x + -1x = 4x + -18 Combine like terms: 54 + -3 = 51 51 + 18x + -1x = 4x + -18 Combine like terms: 18x + -1x = 17x 51 + 17x = 4x + -18 Reorder the terms: 51 + 17x = -18 + 4x Solving 51 + 17x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 51 + 17x + -4x = -18 + 4x + -4x Combine like terms: 17x + -4x = 13x 51 + 13x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 51 + 13x = -18 + 0 51 + 13x = -18 Add '-51' to each side of the equation. 51 + -51 + 13x = -18 + -51 Combine like terms: 51 + -51 = 0 0 + 13x = -18 + -51 13x = -18 + -51 Combine like terms: -18 + -51 = -69 13x = -69 Divide each side by '13'. x = -5.307692308 Simplifying x = -5.307692308
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