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Simplifying 7x + 2 = 3 + -2(x + -6) Reorder the terms: 2 + 7x = 3 + -2(x + -6) Reorder the terms: 2 + 7x = 3 + -2(-6 + x) 2 + 7x = 3 + (-6 * -2 + x * -2) 2 + 7x = 3 + (12 + -2x) Combine like terms: 3 + 12 = 15 2 + 7x = 15 + -2x Solving 2 + 7x = 15 + -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. 2 + 7x + 2x = 15 + -2x + 2x Combine like terms: 7x + 2x = 9x 2 + 9x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 9x = 15 + 0 2 + 9x = 15 Add '-2' to each side of the equation. 2 + -2 + 9x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 15 + -2 9x = 15 + -2 Combine like terms: 15 + -2 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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