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Simplifying 8x + 2(x + -3) = 5x + 9 Reorder the terms: 8x + 2(-3 + x) = 5x + 9 8x + (-3 * 2 + x * 2) = 5x + 9 8x + (-6 + 2x) = 5x + 9 Reorder the terms: -6 + 8x + 2x = 5x + 9 Combine like terms: 8x + 2x = 10x -6 + 10x = 5x + 9 Reorder the terms: -6 + 10x = 9 + 5x Solving -6 + 10x = 9 + 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 + 10x + -5x = 9 + 5x + -5x Combine like terms: 10x + -5x = 5x -6 + 5x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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