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Simplifying 42 + -4x = 52 + -2x Solving 42 + -4x = 52 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 42 + -4x + 2x = 52 + -2x + 2x Combine like terms: -4x + 2x = -2x 42 + -2x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + -2x = 52 + 0 42 + -2x = 52 Add '-42' to each side of the equation. 42 + -42 + -2x = 52 + -42 Combine like terms: 42 + -42 = 0 0 + -2x = 52 + -42 -2x = 52 + -42 Combine like terms: 52 + -42 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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