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Simplifying 6(x + -7) + 2(x + -2) = 26 Reorder the terms: 6(-7 + x) + 2(x + -2) = 26 (-7 * 6 + x * 6) + 2(x + -2) = 26 (-42 + 6x) + 2(x + -2) = 26 Reorder the terms: -42 + 6x + 2(-2 + x) = 26 -42 + 6x + (-2 * 2 + x * 2) = 26 -42 + 6x + (-4 + 2x) = 26 Reorder the terms: -42 + -4 + 6x + 2x = 26 Combine like terms: -42 + -4 = -46 -46 + 6x + 2x = 26 Combine like terms: 6x + 2x = 8x -46 + 8x = 26 Solving -46 + 8x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 8x = 26 + 46 Combine like terms: -46 + 46 = 0 0 + 8x = 26 + 46 8x = 26 + 46 Combine like terms: 26 + 46 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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