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Simplifying 3(5x + -1) = 9(3x + 5) Reorder the terms: 3(-1 + 5x) = 9(3x + 5) (-1 * 3 + 5x * 3) = 9(3x + 5) (-3 + 15x) = 9(3x + 5) Reorder the terms: -3 + 15x = 9(5 + 3x) -3 + 15x = (5 * 9 + 3x * 9) -3 + 15x = (45 + 27x) Solving -3 + 15x = 45 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -3 + 15x + -27x = 45 + 27x + -27x Combine like terms: 15x + -27x = -12x -3 + -12x = 45 + 27x + -27x Combine like terms: 27x + -27x = 0 -3 + -12x = 45 + 0 -3 + -12x = 45 Add '3' to each side of the equation. -3 + 3 + -12x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + -12x = 45 + 3 -12x = 45 + 3 Combine like terms: 45 + 3 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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