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Simplifying 2(4x + 9) = 5x + 3 Reorder the terms: 2(9 + 4x) = 5x + 3 (9 * 2 + 4x * 2) = 5x + 3 (18 + 8x) = 5x + 3 Reorder the terms: 18 + 8x = 3 + 5x Solving 18 + 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. 18 + 8x + -5x = 3 + 5x + -5x Combine like terms: 8x + -5x = 3x 18 + 3x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + 3x = 3 + 0 18 + 3x = 3 Add '-18' to each side of the equation. 18 + -18 + 3x = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 3 + -18 3x = 3 + -18 Combine like terms: 3 + -18 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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