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Simplifying 7(x + -2) + 2 = 9x + 10 Reorder the terms: 7(-2 + x) + 2 = 9x + 10 (-2 * 7 + x * 7) + 2 = 9x + 10 (-14 + 7x) + 2 = 9x + 10 Reorder the terms: -14 + 2 + 7x = 9x + 10 Combine like terms: -14 + 2 = -12 -12 + 7x = 9x + 10 Reorder the terms: -12 + 7x = 10 + 9x Solving -12 + 7x = 10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 7x + -9x = 10 + 9x + -9x Combine like terms: 7x + -9x = -2x -12 + -2x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -2x = 10 + 0 -12 + -2x = 10 Add '12' to each side of the equation. -12 + 12 + -2x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 10 + 12 -2x = 10 + 12 Combine like terms: 10 + 12 = 22 -2x = 22 Divide each side by '-2'. x = -11 Simplifying x = -11
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