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Simplifying 22 + -42 = 4(x + 1) + -4 Combine like terms: 22 + -42 = -20 -20 = 4(x + 1) + -4 Reorder the terms: -20 = 4(1 + x) + -4 -20 = (1 * 4 + x * 4) + -4 -20 = (4 + 4x) + -4 Reorder the terms: -20 = 4 + -4 + 4x Combine like terms: 4 + -4 = 0 -20 = 0 + 4x -20 = 4x Solving -20 = 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. -20 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -20 + -4x = 0 Add '20' to each side of the equation. -20 + 20 + -4x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -4x = 0 + 20 -4x = 0 + 20 Combine like terms: 0 + 20 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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