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Simplifying 3x + 22 = 4(x + -1) + -1 Reorder the terms: 22 + 3x = 4(x + -1) + -1 Reorder the terms: 22 + 3x = 4(-1 + x) + -1 22 + 3x = (-1 * 4 + x * 4) + -1 22 + 3x = (-4 + 4x) + -1 Reorder the terms: 22 + 3x = -4 + -1 + 4x Combine like terms: -4 + -1 = -5 22 + 3x = -5 + 4x Solving 22 + 3x = -5 + 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. 22 + 3x + -4x = -5 + 4x + -4x Combine like terms: 3x + -4x = -1x 22 + -1x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + -1x = -5 + 0 22 + -1x = -5 Add '-22' to each side of the equation. 22 + -22 + -1x = -5 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = -5 + -22 -1x = -5 + -22 Combine like terms: -5 + -22 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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