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Simplifying 3x + 9 = 4(x + 5) + -1x + 3 + 2x Reorder the terms: 9 + 3x = 4(x + 5) + -1x + 3 + 2x Reorder the terms: 9 + 3x = 4(5 + x) + -1x + 3 + 2x 9 + 3x = (5 * 4 + x * 4) + -1x + 3 + 2x 9 + 3x = (20 + 4x) + -1x + 3 + 2x Reorder the terms: 9 + 3x = 20 + 3 + 4x + -1x + 2x Combine like terms: 20 + 3 = 23 9 + 3x = 23 + 4x + -1x + 2x Combine like terms: 4x + -1x = 3x 9 + 3x = 23 + 3x + 2x Combine like terms: 3x + 2x = 5x 9 + 3x = 23 + 5x Solving 9 + 3x = 23 + 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. 9 + 3x + -5x = 23 + 5x + -5x Combine like terms: 3x + -5x = -2x 9 + -2x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -2x = 23 + 0 9 + -2x = 23 Add '-9' to each side of the equation. 9 + -9 + -2x = 23 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 23 + -9 -2x = 23 + -9 Combine like terms: 23 + -9 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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