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Simplifying 4(4 + (x + -1)) = 5(5 + (x + -4)) Reorder the terms: 4(4 + (-1 + x)) = 5(5 + (x + -4)) Remove parenthesis around (-1 + x) 4(4 + -1 + x) = 5(5 + (x + -4)) Combine like terms: 4 + -1 = 3 4(3 + x) = 5(5 + (x + -4)) (3 * 4 + x * 4) = 5(5 + (x + -4)) (12 + 4x) = 5(5 + (x + -4)) Reorder the terms: 12 + 4x = 5(5 + (-4 + x)) Remove parenthesis around (-4 + x) 12 + 4x = 5(5 + -4 + x) Combine like terms: 5 + -4 = 1 12 + 4x = 5(1 + x) 12 + 4x = (1 * 5 + x * 5) 12 + 4x = (5 + 5x) Solving 12 + 4x = 5 + 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. 12 + 4x + -5x = 5 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = 5 + 0 12 + -1x = 5 Add '-12' to each side of the equation. 12 + -12 + -1x = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 5 + -12 -1x = 5 + -12 Combine like terms: 5 + -12 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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