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Simplifying 3(5 + -3x) = 2(2x + 1) (5 * 3 + -3x * 3) = 2(2x + 1) (15 + -9x) = 2(2x + 1) Reorder the terms: 15 + -9x = 2(1 + 2x) 15 + -9x = (1 * 2 + 2x * 2) 15 + -9x = (2 + 4x) Solving 15 + -9x = 2 + 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. 15 + -9x + -4x = 2 + 4x + -4x Combine like terms: -9x + -4x = -13x 15 + -13x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -13x = 2 + 0 15 + -13x = 2 Add '-15' to each side of the equation. 15 + -15 + -13x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = 2 + -15 -13x = 2 + -15 Combine like terms: 2 + -15 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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