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Simplifying 3x + 6 = 5(x + 2) + 9 Reorder the terms: 6 + 3x = 5(x + 2) + 9 Reorder the terms: 6 + 3x = 5(2 + x) + 9 6 + 3x = (2 * 5 + x * 5) + 9 6 + 3x = (10 + 5x) + 9 Reorder the terms: 6 + 3x = 10 + 9 + 5x Combine like terms: 10 + 9 = 19 6 + 3x = 19 + 5x Solving 6 + 3x = 19 + 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 + 3x + -5x = 19 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = 19 + 0 6 + -2x = 19 Add '-6' to each side of the equation. 6 + -6 + -2x = 19 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 19 + -6 -2x = 19 + -6 Combine like terms: 19 + -6 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5
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