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Simplifying 4(x + 2) + 5x = 6(x + 4) Reorder the terms: 4(2 + x) + 5x = 6(x + 4) (2 * 4 + x * 4) + 5x = 6(x + 4) (8 + 4x) + 5x = 6(x + 4) Combine like terms: 4x + 5x = 9x 8 + 9x = 6(x + 4) Reorder the terms: 8 + 9x = 6(4 + x) 8 + 9x = (4 * 6 + x * 6) 8 + 9x = (24 + 6x) Solving 8 + 9x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 9x + -6x = 24 + 6x + -6x Combine like terms: 9x + -6x = 3x 8 + 3x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 3x = 24 + 0 8 + 3x = 24 Add '-8' to each side of the equation. 8 + -8 + 3x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 24 + -8 3x = 24 + -8 Combine like terms: 24 + -8 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333
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