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Simplifying 4x + -1(12x + 42) = 22 Reorder the terms: 4x + -1(42 + 12x) = 22 4x + (42 * -1 + 12x * -1) = 22 4x + (-42 + -12x) = 22 Reorder the terms: -42 + 4x + -12x = 22 Combine like terms: 4x + -12x = -8x -42 + -8x = 22 Solving -42 + -8x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -8x = 22 + 42 Combine like terms: -42 + 42 = 0 0 + -8x = 22 + 42 -8x = 22 + 42 Combine like terms: 22 + 42 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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