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Simplifying 3 + 5(3x + 3) = -5 + -3(5x + 2) Reorder the terms: 3 + 5(3 + 3x) = -5 + -3(5x + 2) 3 + (3 * 5 + 3x * 5) = -5 + -3(5x + 2) 3 + (15 + 15x) = -5 + -3(5x + 2) Combine like terms: 3 + 15 = 18 18 + 15x = -5 + -3(5x + 2) Reorder the terms: 18 + 15x = -5 + -3(2 + 5x) 18 + 15x = -5 + (2 * -3 + 5x * -3) 18 + 15x = -5 + (-6 + -15x) Combine like terms: -5 + -6 = -11 18 + 15x = -11 + -15x Solving 18 + 15x = -11 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 18 + 15x + 15x = -11 + -15x + 15x Combine like terms: 15x + 15x = 30x 18 + 30x = -11 + -15x + 15x Combine like terms: -15x + 15x = 0 18 + 30x = -11 + 0 18 + 30x = -11 Add '-18' to each side of the equation. 18 + -18 + 30x = -11 + -18 Combine like terms: 18 + -18 = 0 0 + 30x = -11 + -18 30x = -11 + -18 Combine like terms: -11 + -18 = -29 30x = -29 Divide each side by '30'. x = -0.9666666667 Simplifying x = -0.9666666667
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