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Simplifying 4x + -2x + 42 = 4x + 20 Reorder the terms: 42 + 4x + -2x = 4x + 20 Combine like terms: 4x + -2x = 2x 42 + 2x = 4x + 20 Reorder the terms: 42 + 2x = 20 + 4x Solving 42 + 2x = 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. 42 + 2x + -4x = 20 + 4x + -4x Combine like terms: 2x + -4x = -2x 42 + -2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + -2x = 20 + 0 42 + -2x = 20 Add '-42' to each side of the equation. 42 + -42 + -2x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 20 + -42 -2x = 20 + -42 Combine like terms: 20 + -42 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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