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Simplifying 7(x + -5) = 2(4x + -1) Reorder the terms: 7(-5 + x) = 2(4x + -1) (-5 * 7 + x * 7) = 2(4x + -1) (-35 + 7x) = 2(4x + -1) Reorder the terms: -35 + 7x = 2(-1 + 4x) -35 + 7x = (-1 * 2 + 4x * 2) -35 + 7x = (-2 + 8x) Solving -35 + 7x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -35 + 7x + -8x = -2 + 8x + -8x Combine like terms: 7x + -8x = -1x -35 + -1x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -1x = -2 + 0 -35 + -1x = -2 Add '35' to each side of the equation. -35 + 35 + -1x = -2 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = -2 + 35 -1x = -2 + 35 Combine like terms: -2 + 35 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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