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Simplifying 8x + -5 = 9 + 3(x + 7) Reorder the terms: -5 + 8x = 9 + 3(x + 7) Reorder the terms: -5 + 8x = 9 + 3(7 + x) -5 + 8x = 9 + (7 * 3 + x * 3) -5 + 8x = 9 + (21 + 3x) Combine like terms: 9 + 21 = 30 -5 + 8x = 30 + 3x Solving -5 + 8x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 8x + -3x = 30 + 3x + -3x Combine like terms: 8x + -3x = 5x -5 + 5x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 5x = 30 + 0 -5 + 5x = 30 Add '5' to each side of the equation. -5 + 5 + 5x = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 5x = 30 + 5 5x = 30 + 5 Combine like terms: 30 + 5 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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