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Simplifying 7(x + -5) + -1(x + -2) = 5 Reorder the terms: 7(-5 + x) + -1(x + -2) = 5 (-5 * 7 + x * 7) + -1(x + -2) = 5 (-35 + 7x) + -1(x + -2) = 5 Reorder the terms: -35 + 7x + -1(-2 + x) = 5 -35 + 7x + (-2 * -1 + x * -1) = 5 -35 + 7x + (2 + -1x) = 5 Reorder the terms: -35 + 2 + 7x + -1x = 5 Combine like terms: -35 + 2 = -33 -33 + 7x + -1x = 5 Combine like terms: 7x + -1x = 6x -33 + 6x = 5 Solving -33 + 6x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 6x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + 6x = 5 + 33 6x = 5 + 33 Combine like terms: 5 + 33 = 38 6x = 38 Divide each side by '6'. x = 6.333333333 Simplifying x = 6.333333333
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