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Simplifying 4(x + 3) = 5(x + 2) Reorder the terms: 4(3 + x) = 5(x + 2) (3 * 4 + x * 4) = 5(x + 2) (12 + 4x) = 5(x + 2) Reorder the terms: 12 + 4x = 5(2 + x) 12 + 4x = (2 * 5 + x * 5) 12 + 4x = (10 + 5x) Solving 12 + 4x = 10 + 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 = 10 + 5x + -5x Combine like terms: 4x + -5x = -1x 12 + -1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -1x = 10 + 0 12 + -1x = 10 Add '-12' to each side of the equation. 12 + -12 + -1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 10 + -12 -1x = 10 + -12 Combine like terms: 10 + -12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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