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Simplifying 6 + 2(9 + 4x) = 5x + 3 6 + (9 * 2 + 4x * 2) = 5x + 3 6 + (18 + 8x) = 5x + 3 Combine like terms: 6 + 18 = 24 24 + 8x = 5x + 3 Reorder the terms: 24 + 8x = 3 + 5x Solving 24 + 8x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 8x + -5x = 3 + 5x + -5x Combine like terms: 8x + -5x = 3x 24 + 3x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 3x = 3 + 0 24 + 3x = 3 Add '-24' to each side of the equation. 24 + -24 + 3x = 3 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 3 + -24 3x = 3 + -24 Combine like terms: 3 + -24 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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