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Simplifying 3(2x + 3) = 13 + -5(2 + -3x) Reorder the terms: 3(3 + 2x) = 13 + -5(2 + -3x) (3 * 3 + 2x * 3) = 13 + -5(2 + -3x) (9 + 6x) = 13 + -5(2 + -3x) 9 + 6x = 13 + (2 * -5 + -3x * -5) 9 + 6x = 13 + (-10 + 15x) Combine like terms: 13 + -10 = 3 9 + 6x = 3 + 15x Solving 9 + 6x = 3 + 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. 9 + 6x + -15x = 3 + 15x + -15x Combine like terms: 6x + -15x = -9x 9 + -9x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -9x = 3 + 0 9 + -9x = 3 Add '-9' to each side of the equation. 9 + -9 + -9x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 3 + -9 -9x = 3 + -9 Combine like terms: 3 + -9 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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