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Simplifying 2(x + -22) + 4(x + -4) = 42 Reorder the terms: 2(-22 + x) + 4(x + -4) = 42 (-22 * 2 + x * 2) + 4(x + -4) = 42 (-44 + 2x) + 4(x + -4) = 42 Reorder the terms: -44 + 2x + 4(-4 + x) = 42 -44 + 2x + (-4 * 4 + x * 4) = 42 -44 + 2x + (-16 + 4x) = 42 Reorder the terms: -44 + -16 + 2x + 4x = 42 Combine like terms: -44 + -16 = -60 -60 + 2x + 4x = 42 Combine like terms: 2x + 4x = 6x -60 + 6x = 42 Solving -60 + 6x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 6x = 42 + 60 Combine like terms: -60 + 60 = 0 0 + 6x = 42 + 60 6x = 42 + 60 Combine like terms: 42 + 60 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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