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Simplifying 4(5 + 2x) = 7(x + -5) (5 * 4 + 2x * 4) = 7(x + -5) (20 + 8x) = 7(x + -5) Reorder the terms: 20 + 8x = 7(-5 + x) 20 + 8x = (-5 * 7 + x * 7) 20 + 8x = (-35 + 7x) Solving 20 + 8x = -35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + 8x + -7x = -35 + 7x + -7x Combine like terms: 8x + -7x = 1x 20 + 1x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + 1x = -35 + 0 20 + 1x = -35 Add '-20' to each side of the equation. 20 + -20 + 1x = -35 + -20 Combine like terms: 20 + -20 = 0 0 + 1x = -35 + -20 1x = -35 + -20 Combine like terms: -35 + -20 = -55 1x = -55 Divide each side by '1'. x = -55 Simplifying x = -55
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