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Simplifying 2(x + -3) = 3(x + 8) + -8x Reorder the terms: 2(-3 + x) = 3(x + 8) + -8x (-3 * 2 + x * 2) = 3(x + 8) + -8x (-6 + 2x) = 3(x + 8) + -8x Reorder the terms: -6 + 2x = 3(8 + x) + -8x -6 + 2x = (8 * 3 + x * 3) + -8x -6 + 2x = (24 + 3x) + -8x Combine like terms: 3x + -8x = -5x -6 + 2x = 24 + -5x Solving -6 + 2x = 24 + -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 + 2x + 5x = 24 + -5x + 5x Combine like terms: 2x + 5x = 7x -6 + 7x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 7x = 24 + 0 -6 + 7x = 24 Add '6' to each side of the equation. -6 + 6 + 7x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 24 + 6 7x = 24 + 6 Combine like terms: 24 + 6 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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