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Simplifying -8(3 + -3x) = 6(x + 1) + 3x (3 * -8 + -3x * -8) = 6(x + 1) + 3x (-24 + 24x) = 6(x + 1) + 3x Reorder the terms: -24 + 24x = 6(1 + x) + 3x -24 + 24x = (1 * 6 + x * 6) + 3x -24 + 24x = (6 + 6x) + 3x Combine like terms: 6x + 3x = 9x -24 + 24x = 6 + 9x Solving -24 + 24x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -24 + 24x + -9x = 6 + 9x + -9x Combine like terms: 24x + -9x = 15x -24 + 15x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -24 + 15x = 6 + 0 -24 + 15x = 6 Add '24' to each side of the equation. -24 + 24 + 15x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 6 + 24 15x = 6 + 24 Combine like terms: 6 + 24 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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