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Simplifying 5(x + 2) = 4(x + 3) Reorder the terms: 5(2 + x) = 4(x + 3) (2 * 5 + x * 5) = 4(x + 3) (10 + 5x) = 4(x + 3) Reorder the terms: 10 + 5x = 4(3 + x) 10 + 5x = (3 * 4 + x * 4) 10 + 5x = (12 + 4x) Solving 10 + 5x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x 10 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 1x = 12 + 0 10 + 1x = 12 Add '-10' to each side of the equation. 10 + -10 + 1x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 12 + -10 1x = 12 + -10 Combine like terms: 12 + -10 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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