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Simplifying 3x + -9 + 3(3x + 5) = -4(x + 1) Reorder the terms: 3x + -9 + 3(5 + 3x) = -4(x + 1) 3x + -9 + (5 * 3 + 3x * 3) = -4(x + 1) 3x + -9 + (15 + 9x) = -4(x + 1) Reorder the terms: -9 + 15 + 3x + 9x = -4(x + 1) Combine like terms: -9 + 15 = 6 6 + 3x + 9x = -4(x + 1) Combine like terms: 3x + 9x = 12x 6 + 12x = -4(x + 1) Reorder the terms: 6 + 12x = -4(1 + x) 6 + 12x = (1 * -4 + x * -4) 6 + 12x = (-4 + -4x) Solving 6 + 12x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 12x + 4x = -4 + -4x + 4x Combine like terms: 12x + 4x = 16x 6 + 16x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 16x = -4 + 0 6 + 16x = -4 Add '-6' to each side of the equation. 6 + -6 + 16x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = -4 + -6 16x = -4 + -6 Combine like terms: -4 + -6 = -10 16x = -10 Divide each side by '16'. x = -0.625 Simplifying x = -0.625
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