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Simplifying 7(x + -5) = 4(2x + -1) Reorder the terms: 7(-5 + x) = 4(2x + -1) (-5 * 7 + x * 7) = 4(2x + -1) (-35 + 7x) = 4(2x + -1) Reorder the terms: -35 + 7x = 4(-1 + 2x) -35 + 7x = (-1 * 4 + 2x * 4) -35 + 7x = (-4 + 8x) Solving -35 + 7x = -4 + 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 = -4 + 8x + -8x Combine like terms: 7x + -8x = -1x -35 + -1x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -1x = -4 + 0 -35 + -1x = -4 Add '35' to each side of the equation. -35 + 35 + -1x = -4 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = -4 + 35 -1x = -4 + 35 Combine like terms: -4 + 35 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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