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Simplifying 5(3x + -1) + -1(3x + -1) = 1 + -3(x + 2) Reorder the terms: 5(-1 + 3x) + -1(3x + -1) = 1 + -3(x + 2) (-1 * 5 + 3x * 5) + -1(3x + -1) = 1 + -3(x + 2) (-5 + 15x) + -1(3x + -1) = 1 + -3(x + 2) Reorder the terms: -5 + 15x + -1(-1 + 3x) = 1 + -3(x + 2) -5 + 15x + (-1 * -1 + 3x * -1) = 1 + -3(x + 2) -5 + 15x + (1 + -3x) = 1 + -3(x + 2) Reorder the terms: -5 + 1 + 15x + -3x = 1 + -3(x + 2) Combine like terms: -5 + 1 = -4 -4 + 15x + -3x = 1 + -3(x + 2) Combine like terms: 15x + -3x = 12x -4 + 12x = 1 + -3(x + 2) Reorder the terms: -4 + 12x = 1 + -3(2 + x) -4 + 12x = 1 + (2 * -3 + x * -3) -4 + 12x = 1 + (-6 + -3x) Combine like terms: 1 + -6 = -5 -4 + 12x = -5 + -3x Solving -4 + 12x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -4 + 12x + 3x = -5 + -3x + 3x Combine like terms: 12x + 3x = 15x -4 + 15x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -4 + 15x = -5 + 0 -4 + 15x = -5 Add '4' to each side of the equation. -4 + 4 + 15x = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = -5 + 4 15x = -5 + 4 Combine like terms: -5 + 4 = -1 15x = -1 Divide each side by '15'. x = -0.06666666667 Simplifying x = -0.06666666667
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