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Simplifying 3x + 2(3x + -1) = 12 + 4(x + -5) Reorder the terms: 3x + 2(-1 + 3x) = 12 + 4(x + -5) 3x + (-1 * 2 + 3x * 2) = 12 + 4(x + -5) 3x + (-2 + 6x) = 12 + 4(x + -5) Reorder the terms: -2 + 3x + 6x = 12 + 4(x + -5) Combine like terms: 3x + 6x = 9x -2 + 9x = 12 + 4(x + -5) Reorder the terms: -2 + 9x = 12 + 4(-5 + x) -2 + 9x = 12 + (-5 * 4 + x * 4) -2 + 9x = 12 + (-20 + 4x) Combine like terms: 12 + -20 = -8 -2 + 9x = -8 + 4x Solving -2 + 9x = -8 + 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. -2 + 9x + -4x = -8 + 4x + -4x Combine like terms: 9x + -4x = 5x -2 + 5x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 5x = -8 + 0 -2 + 5x = -8 Add '2' to each side of the equation. -2 + 2 + 5x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -8 + 2 5x = -8 + 2 Combine like terms: -8 + 2 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2
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