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Simplifying 7(x + -5) + -1(x + 1) = 138 Reorder the terms: 7(-5 + x) + -1(x + 1) = 138 (-5 * 7 + x * 7) + -1(x + 1) = 138 (-35 + 7x) + -1(x + 1) = 138 Reorder the terms: -35 + 7x + -1(1 + x) = 138 -35 + 7x + (1 * -1 + x * -1) = 138 -35 + 7x + (-1 + -1x) = 138 Reorder the terms: -35 + -1 + 7x + -1x = 138 Combine like terms: -35 + -1 = -36 -36 + 7x + -1x = 138 Combine like terms: 7x + -1x = 6x -36 + 6x = 138 Solving -36 + 6x = 138 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6x = 138 + 36 Combine like terms: -36 + 36 = 0 0 + 6x = 138 + 36 6x = 138 + 36 Combine like terms: 138 + 36 = 174 6x = 174 Divide each side by '6'. x = 29 Simplifying x = 29
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