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Simplifying 4(x + 2) = 2 + 3(x + 3) Reorder the terms: 4(2 + x) = 2 + 3(x + 3) (2 * 4 + x * 4) = 2 + 3(x + 3) (8 + 4x) = 2 + 3(x + 3) Reorder the terms: 8 + 4x = 2 + 3(3 + x) 8 + 4x = 2 + (3 * 3 + x * 3) 8 + 4x = 2 + (9 + 3x) Combine like terms: 2 + 9 = 11 8 + 4x = 11 + 3x Solving 8 + 4x = 11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 4x + -3x = 11 + 3x + -3x Combine like terms: 4x + -3x = 1x 8 + 1x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 1x = 11 + 0 8 + 1x = 11 Add '-8' to each side of the equation. 8 + -8 + 1x = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 11 + -8 1x = 11 + -8 Combine like terms: 11 + -8 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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