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Simplifying 4x + -4 = 5 + 5(x + -5) Reorder the terms: -4 + 4x = 5 + 5(x + -5) Reorder the terms: -4 + 4x = 5 + 5(-5 + x) -4 + 4x = 5 + (-5 * 5 + x * 5) -4 + 4x = 5 + (-25 + 5x) Combine like terms: 5 + -25 = -20 -4 + 4x = -20 + 5x Solving -4 + 4x = -20 + 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. -4 + 4x + -5x = -20 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = -20 + 0 -4 + -1x = -20 Add '4' to each side of the equation. -4 + 4 + -1x = -20 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -20 + 4 -1x = -20 + 4 Combine like terms: -20 + 4 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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