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Simplifying 5(3x + -1) + -1(1 + -2x) = 3(5x + -2) Reorder the terms: 5(-1 + 3x) + -1(1 + -2x) = 3(5x + -2) (-1 * 5 + 3x * 5) + -1(1 + -2x) = 3(5x + -2) (-5 + 15x) + -1(1 + -2x) = 3(5x + -2) -5 + 15x + (1 * -1 + -2x * -1) = 3(5x + -2) -5 + 15x + (-1 + 2x) = 3(5x + -2) Reorder the terms: -5 + -1 + 15x + 2x = 3(5x + -2) Combine like terms: -5 + -1 = -6 -6 + 15x + 2x = 3(5x + -2) Combine like terms: 15x + 2x = 17x -6 + 17x = 3(5x + -2) Reorder the terms: -6 + 17x = 3(-2 + 5x) -6 + 17x = (-2 * 3 + 5x * 3) -6 + 17x = (-6 + 15x) Add '6' to each side of the equation. -6 + 6 + 17x = -6 + 6 + 15x Combine like terms: -6 + 6 = 0 0 + 17x = -6 + 6 + 15x 17x = -6 + 6 + 15x Combine like terms: -6 + 6 = 0 17x = 0 + 15x 17x = 15x Solving 17x = 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. 17x + -15x = 15x + -15x Combine like terms: 17x + -15x = 2x 2x = 15x + -15x Combine like terms: 15x + -15x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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