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Simplifying 8x + 9 = 4(2x + 6) + 5x Reorder the terms: 9 + 8x = 4(2x + 6) + 5x Reorder the terms: 9 + 8x = 4(6 + 2x) + 5x 9 + 8x = (6 * 4 + 2x * 4) + 5x 9 + 8x = (24 + 8x) + 5x Combine like terms: 8x + 5x = 13x 9 + 8x = 24 + 13x Solving 9 + 8x = 24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 9 + 8x + -13x = 24 + 13x + -13x Combine like terms: 8x + -13x = -5x 9 + -5x = 24 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + -5x = 24 + 0 9 + -5x = 24 Add '-9' to each side of the equation. 9 + -9 + -5x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 24 + -9 -5x = 24 + -9 Combine like terms: 24 + -9 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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