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Simplifying 5 + 2(3x + 2) + -3 = 5x + 9 Reorder the terms: 5 + 2(2 + 3x) + -3 = 5x + 9 5 + (2 * 2 + 3x * 2) + -3 = 5x + 9 5 + (4 + 6x) + -3 = 5x + 9 Reorder the terms: 5 + 4 + -3 + 6x = 5x + 9 Combine like terms: 5 + 4 = 9 9 + -3 + 6x = 5x + 9 Combine like terms: 9 + -3 = 6 6 + 6x = 5x + 9 Reorder the terms: 6 + 6x = 9 + 5x Solving 6 + 6x = 9 + 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. 6 + 6x + -5x = 9 + 5x + -5x Combine like terms: 6x + -5x = 1x 6 + 1x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 1x = 9 + 0 6 + 1x = 9 Add '-6' to each side of the equation. 6 + -6 + 1x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 9 + -6 1x = 9 + -6 Combine like terms: 9 + -6 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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