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Simplifying 9x + -7 + 2(3x + 1) = -3(x + 3) Reorder the terms: 9x + -7 + 2(1 + 3x) = -3(x + 3) 9x + -7 + (1 * 2 + 3x * 2) = -3(x + 3) 9x + -7 + (2 + 6x) = -3(x + 3) Reorder the terms: -7 + 2 + 9x + 6x = -3(x + 3) Combine like terms: -7 + 2 = -5 -5 + 9x + 6x = -3(x + 3) Combine like terms: 9x + 6x = 15x -5 + 15x = -3(x + 3) Reorder the terms: -5 + 15x = -3(3 + x) -5 + 15x = (3 * -3 + x * -3) -5 + 15x = (-9 + -3x) Solving -5 + 15x = -9 + -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. -5 + 15x + 3x = -9 + -3x + 3x Combine like terms: 15x + 3x = 18x -5 + 18x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 18x = -9 + 0 -5 + 18x = -9 Add '5' to each side of the equation. -5 + 5 + 18x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = -9 + 5 18x = -9 + 5 Combine like terms: -9 + 5 = -4 18x = -4 Divide each side by '18'. x = -0.2222222222 Simplifying x = -0.2222222222
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