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Simplifying 3(5 + -3x) = 2(4x + 1) (5 * 3 + -3x * 3) = 2(4x + 1) (15 + -9x) = 2(4x + 1) Reorder the terms: 15 + -9x = 2(1 + 4x) 15 + -9x = (1 * 2 + 4x * 2) 15 + -9x = (2 + 8x) Solving 15 + -9x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -9x + -8x = 2 + 8x + -8x Combine like terms: -9x + -8x = -17x 15 + -17x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -17x = 2 + 0 15 + -17x = 2 Add '-15' to each side of the equation. 15 + -15 + -17x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -17x = 2 + -15 -17x = 2 + -15 Combine like terms: 2 + -15 = -13 -17x = -13 Divide each side by '-17'. x = 0.7647058824 Simplifying x = 0.7647058824
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