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Simplifying 3(x + -4) + 4x = 5x + -22 Reorder the terms: 3(-4 + x) + 4x = 5x + -22 (-4 * 3 + x * 3) + 4x = 5x + -22 (-12 + 3x) + 4x = 5x + -22 Combine like terms: 3x + 4x = 7x -12 + 7x = 5x + -22 Reorder the terms: -12 + 7x = -22 + 5x Solving -12 + 7x = -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. -12 + 7x + -5x = -22 + 5x + -5x Combine like terms: 7x + -5x = 2x -12 + 2x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 2x = -22 + 0 -12 + 2x = -22 Add '12' to each side of the equation. -12 + 12 + 2x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = -22 + 12 2x = -22 + 12 Combine like terms: -22 + 12 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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