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Simplifying 4x + 2(3x + 4) = 6x + 44 Reorder the terms: 4x + 2(4 + 3x) = 6x + 44 4x + (4 * 2 + 3x * 2) = 6x + 44 4x + (8 + 6x) = 6x + 44 Reorder the terms: 8 + 4x + 6x = 6x + 44 Combine like terms: 4x + 6x = 10x 8 + 10x = 6x + 44 Reorder the terms: 8 + 10x = 44 + 6x Solving 8 + 10x = 44 + 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 + 10x + -6x = 44 + 6x + -6x Combine like terms: 10x + -6x = 4x 8 + 4x = 44 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + 4x = 44 + 0 8 + 4x = 44 Add '-8' to each side of the equation. 8 + -8 + 4x = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 44 + -8 4x = 44 + -8 Combine like terms: 44 + -8 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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