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Simplifying 4x + -22 = 3(x + -3) + -5 Reorder the terms: -22 + 4x = 3(x + -3) + -5 Reorder the terms: -22 + 4x = 3(-3 + x) + -5 -22 + 4x = (-3 * 3 + x * 3) + -5 -22 + 4x = (-9 + 3x) + -5 Reorder the terms: -22 + 4x = -9 + -5 + 3x Combine like terms: -9 + -5 = -14 -22 + 4x = -14 + 3x Solving -22 + 4x = -14 + 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. -22 + 4x + -3x = -14 + 3x + -3x Combine like terms: 4x + -3x = 1x -22 + 1x = -14 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + 1x = -14 + 0 -22 + 1x = -14 Add '22' to each side of the equation. -22 + 22 + 1x = -14 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = -14 + 22 1x = -14 + 22 Combine like terms: -14 + 22 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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