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Simplifying 4(x + 2) = 9(x + 3) Reorder the terms: 4(2 + x) = 9(x + 3) (2 * 4 + x * 4) = 9(x + 3) (8 + 4x) = 9(x + 3) Reorder the terms: 8 + 4x = 9(3 + x) 8 + 4x = (3 * 9 + x * 9) 8 + 4x = (27 + 9x) Solving 8 + 4x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 4x + -9x = 27 + 9x + -9x Combine like terms: 4x + -9x = -5x 8 + -5x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -5x = 27 + 0 8 + -5x = 27 Add '-8' to each side of the equation. 8 + -8 + -5x = 27 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 27 + -8 -5x = 27 + -8 Combine like terms: 27 + -8 = 19 -5x = 19 Divide each side by '-5'. x = -3.8 Simplifying x = -3.8
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