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Simplifying -5(x + 7) = 4(-8x + -2) Reorder the terms: -5(7 + x) = 4(-8x + -2) (7 * -5 + x * -5) = 4(-8x + -2) (-35 + -5x) = 4(-8x + -2) Reorder the terms: -35 + -5x = 4(-2 + -8x) -35 + -5x = (-2 * 4 + -8x * 4) -35 + -5x = (-8 + -32x) Solving -35 + -5x = -8 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -35 + -5x + 32x = -8 + -32x + 32x Combine like terms: -5x + 32x = 27x -35 + 27x = -8 + -32x + 32x Combine like terms: -32x + 32x = 0 -35 + 27x = -8 + 0 -35 + 27x = -8 Add '35' to each side of the equation. -35 + 35 + 27x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 27x = -8 + 35 27x = -8 + 35 Combine like terms: -8 + 35 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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