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Simplifying 3(4x + -3) + 1 = 5x + -22 Reorder the terms: 3(-3 + 4x) + 1 = 5x + -22 (-3 * 3 + 4x * 3) + 1 = 5x + -22 (-9 + 12x) + 1 = 5x + -22 Reorder the terms: -9 + 1 + 12x = 5x + -22 Combine like terms: -9 + 1 = -8 -8 + 12x = 5x + -22 Reorder the terms: -8 + 12x = -22 + 5x Solving -8 + 12x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 12x + -5x = -22 + 5x + -5x Combine like terms: 12x + -5x = 7x -8 + 7x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 7x = -22 + 0 -8 + 7x = -22 Add '8' to each side of the equation. -8 + 8 + 7x = -22 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = -22 + 8 7x = -22 + 8 Combine like terms: -22 + 8 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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