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Simplifying 2x + 3x + 9 = 8(6 + -1x) Reorder the terms: 9 + 2x + 3x = 8(6 + -1x) Combine like terms: 2x + 3x = 5x 9 + 5x = 8(6 + -1x) 9 + 5x = (6 * 8 + -1x * 8) 9 + 5x = (48 + -8x) Solving 9 + 5x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 5x + 8x = 48 + -8x + 8x Combine like terms: 5x + 8x = 13x 9 + 13x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 13x = 48 + 0 9 + 13x = 48 Add '-9' to each side of the equation. 9 + -9 + 13x = 48 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = 48 + -9 13x = 48 + -9 Combine like terms: 48 + -9 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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