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Simplifying 3(x + 3) = 6 + -14(x + 5) Reorder the terms: 3(3 + x) = 6 + -14(x + 5) (3 * 3 + x * 3) = 6 + -14(x + 5) (9 + 3x) = 6 + -14(x + 5) Reorder the terms: 9 + 3x = 6 + -14(5 + x) 9 + 3x = 6 + (5 * -14 + x * -14) 9 + 3x = 6 + (-70 + -14x) Combine like terms: 6 + -70 = -64 9 + 3x = -64 + -14x Solving 9 + 3x = -64 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 9 + 3x + 14x = -64 + -14x + 14x Combine like terms: 3x + 14x = 17x 9 + 17x = -64 + -14x + 14x Combine like terms: -14x + 14x = 0 9 + 17x = -64 + 0 9 + 17x = -64 Add '-9' to each side of the equation. 9 + -9 + 17x = -64 + -9 Combine like terms: 9 + -9 = 0 0 + 17x = -64 + -9 17x = -64 + -9 Combine like terms: -64 + -9 = -73 17x = -73 Divide each side by '17'. x = -4.294117647 Simplifying x = -4.294117647
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