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Simplifying 3(2x + -3) + -11x + -4 = 2x + 12 Reorder the terms: 3(-3 + 2x) + -11x + -4 = 2x + 12 (-3 * 3 + 2x * 3) + -11x + -4 = 2x + 12 (-9 + 6x) + -11x + -4 = 2x + 12 Reorder the terms: -9 + -4 + 6x + -11x = 2x + 12 Combine like terms: -9 + -4 = -13 -13 + 6x + -11x = 2x + 12 Combine like terms: 6x + -11x = -5x -13 + -5x = 2x + 12 Reorder the terms: -13 + -5x = 12 + 2x Solving -13 + -5x = 12 + 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. -13 + -5x + -2x = 12 + 2x + -2x Combine like terms: -5x + -2x = -7x -13 + -7x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -7x = 12 + 0 -13 + -7x = 12 Add '13' to each side of the equation. -13 + 13 + -7x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 12 + 13 -7x = 12 + 13 Combine like terms: 12 + 13 = 25 -7x = 25 Divide each side by '-7'. x = -3.571428571 Simplifying x = -3.571428571
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