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Simplifying 9x + 2 = 2(x + 2) + -9 Reorder the terms: 2 + 9x = 2(x + 2) + -9 Reorder the terms: 2 + 9x = 2(2 + x) + -9 2 + 9x = (2 * 2 + x * 2) + -9 2 + 9x = (4 + 2x) + -9 Reorder the terms: 2 + 9x = 4 + -9 + 2x Combine like terms: 4 + -9 = -5 2 + 9x = -5 + 2x Solving 2 + 9x = -5 + 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 + 9x + -2x = -5 + 2x + -2x Combine like terms: 9x + -2x = 7x 2 + 7x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 7x = -5 + 0 2 + 7x = -5 Add '-2' to each side of the equation. 2 + -2 + 7x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -5 + -2 7x = -5 + -2 Combine like terms: -5 + -2 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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