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Simplifying 3(2 + 5x) + 3 = 2(1 + -3x) (2 * 3 + 5x * 3) + 3 = 2(1 + -3x) (6 + 15x) + 3 = 2(1 + -3x) Reorder the terms: 6 + 3 + 15x = 2(1 + -3x) Combine like terms: 6 + 3 = 9 9 + 15x = 2(1 + -3x) 9 + 15x = (1 * 2 + -3x * 2) 9 + 15x = (2 + -6x) Solving 9 + 15x = 2 + -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. 9 + 15x + 6x = 2 + -6x + 6x Combine like terms: 15x + 6x = 21x 9 + 21x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 9 + 21x = 2 + 0 9 + 21x = 2 Add '-9' to each side of the equation. 9 + -9 + 21x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 21x = 2 + -9 21x = 2 + -9 Combine like terms: 2 + -9 = -7 21x = -7 Divide each side by '21'. x = -0.3333333333 Simplifying x = -0.3333333333
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