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Simplifying 4(x + 5) = 5(x + -3) Reorder the terms: 4(5 + x) = 5(x + -3) (5 * 4 + x * 4) = 5(x + -3) (20 + 4x) = 5(x + -3) Reorder the terms: 20 + 4x = 5(-3 + x) 20 + 4x = (-3 * 5 + x * 5) 20 + 4x = (-15 + 5x) Solving 20 + 4x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 4x + -5x = -15 + 5x + -5x Combine like terms: 4x + -5x = -1x 20 + -1x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -1x = -15 + 0 20 + -1x = -15 Add '-20' to each side of the equation. 20 + -20 + -1x = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = -15 + -20 -1x = -15 + -20 Combine like terms: -15 + -20 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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