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Simplifying 3(2x + 2) + 2(x + -7) = x + 6 Reorder the terms: 3(2 + 2x) + 2(x + -7) = x + 6 (2 * 3 + 2x * 3) + 2(x + -7) = x + 6 (6 + 6x) + 2(x + -7) = x + 6 Reorder the terms: 6 + 6x + 2(-7 + x) = x + 6 6 + 6x + (-7 * 2 + x * 2) = x + 6 6 + 6x + (-14 + 2x) = x + 6 Reorder the terms: 6 + -14 + 6x + 2x = x + 6 Combine like terms: 6 + -14 = -8 -8 + 6x + 2x = x + 6 Combine like terms: 6x + 2x = 8x -8 + 8x = x + 6 Reorder the terms: -8 + 8x = 6 + x Solving -8 + 8x = 6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 8x + -1x = 6 + x + -1x Combine like terms: 8x + -1x = 7x -8 + 7x = 6 + x + -1x Combine like terms: x + -1x = 0 -8 + 7x = 6 + 0 -8 + 7x = 6 Add '8' to each side of the equation. -8 + 8 + 7x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 6 + 8 7x = 6 + 8 Combine like terms: 6 + 8 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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