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Simplifying 7(x + -5) = 2(x + 3) + -1x Reorder the terms: 7(-5 + x) = 2(x + 3) + -1x (-5 * 7 + x * 7) = 2(x + 3) + -1x (-35 + 7x) = 2(x + 3) + -1x Reorder the terms: -35 + 7x = 2(3 + x) + -1x -35 + 7x = (3 * 2 + x * 2) + -1x -35 + 7x = (6 + 2x) + -1x Combine like terms: 2x + -1x = 1x -35 + 7x = 6 + 1x Solving -35 + 7x = 6 + 1x 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. -35 + 7x + -1x = 6 + 1x + -1x Combine like terms: 7x + -1x = 6x -35 + 6x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -35 + 6x = 6 + 0 -35 + 6x = 6 Add '35' to each side of the equation. -35 + 35 + 6x = 6 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = 6 + 35 6x = 6 + 35 Combine like terms: 6 + 35 = 41 6x = 41 Divide each side by '6'. x = 6.833333333 Simplifying x = 6.833333333
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