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Simplifying 2x + 12 = 42 + -7x + 7 Reorder the terms: 12 + 2x = 42 + -7x + 7 Reorder the terms: 12 + 2x = 42 + 7 + -7x Combine like terms: 42 + 7 = 49 12 + 2x = 49 + -7x Solving 12 + 2x = 49 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 2x + 7x = 49 + -7x + 7x Combine like terms: 2x + 7x = 9x 12 + 9x = 49 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 9x = 49 + 0 12 + 9x = 49 Add '-12' to each side of the equation. 12 + -12 + 9x = 49 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 49 + -12 9x = 49 + -12 Combine like terms: 49 + -12 = 37 9x = 37 Divide each side by '9'. x = 4.111111111 Simplifying x = 4.111111111
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