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Simplifying 4(3 + -1x) = 5(4 + -1x) (3 * 4 + -1x * 4) = 5(4 + -1x) (12 + -4x) = 5(4 + -1x) 12 + -4x = (4 * 5 + -1x * 5) 12 + -4x = (20 + -5x) Solving 12 + -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. 12 + -4x + 5x = 20 + -5x + 5x Combine like terms: -4x + 5x = 1x 12 + 1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 1x = 20 + 0 12 + 1x = 20 Add '-12' to each side of the equation. 12 + -12 + 1x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 20 + -12 1x = 20 + -12 Combine like terms: 20 + -12 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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