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Simplifying 3(3x + 1) = 2x + -4(x + 5) + 1 Reorder the terms: 3(1 + 3x) = 2x + -4(x + 5) + 1 (1 * 3 + 3x * 3) = 2x + -4(x + 5) + 1 (3 + 9x) = 2x + -4(x + 5) + 1 Reorder the terms: 3 + 9x = 2x + -4(5 + x) + 1 3 + 9x = 2x + (5 * -4 + x * -4) + 1 3 + 9x = 2x + (-20 + -4x) + 1 Reorder the terms: 3 + 9x = -20 + 1 + 2x + -4x Combine like terms: -20 + 1 = -19 3 + 9x = -19 + 2x + -4x Combine like terms: 2x + -4x = -2x 3 + 9x = -19 + -2x Solving 3 + 9x = -19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 9x + 2x = -19 + -2x + 2x Combine like terms: 9x + 2x = 11x 3 + 11x = -19 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 11x = -19 + 0 3 + 11x = -19 Add '-3' to each side of the equation. 3 + -3 + 11x = -19 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = -19 + -3 11x = -19 + -3 Combine like terms: -19 + -3 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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