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Simplifying 7(x + -2) + 2(x + 2) = 3x + -8 Reorder the terms: 7(-2 + x) + 2(x + 2) = 3x + -8 (-2 * 7 + x * 7) + 2(x + 2) = 3x + -8 (-14 + 7x) + 2(x + 2) = 3x + -8 Reorder the terms: -14 + 7x + 2(2 + x) = 3x + -8 -14 + 7x + (2 * 2 + x * 2) = 3x + -8 -14 + 7x + (4 + 2x) = 3x + -8 Reorder the terms: -14 + 4 + 7x + 2x = 3x + -8 Combine like terms: -14 + 4 = -10 -10 + 7x + 2x = 3x + -8 Combine like terms: 7x + 2x = 9x -10 + 9x = 3x + -8 Reorder the terms: -10 + 9x = -8 + 3x Solving -10 + 9x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 9x + -3x = -8 + 3x + -3x Combine like terms: 9x + -3x = 6x -10 + 6x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 6x = -8 + 0 -10 + 6x = -8 Add '10' to each side of the equation. -10 + 10 + 6x = -8 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -8 + 10 6x = -8 + 10 Combine like terms: -8 + 10 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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