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Simplifying 9x + -6 = 3(x + 2) + -24 Reorder the terms: -6 + 9x = 3(x + 2) + -24 Reorder the terms: -6 + 9x = 3(2 + x) + -24 -6 + 9x = (2 * 3 + x * 3) + -24 -6 + 9x = (6 + 3x) + -24 Reorder the terms: -6 + 9x = 6 + -24 + 3x Combine like terms: 6 + -24 = -18 -6 + 9x = -18 + 3x Solving -6 + 9x = -18 + 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. -6 + 9x + -3x = -18 + 3x + -3x Combine like terms: 9x + -3x = 6x -6 + 6x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 6x = -18 + 0 -6 + 6x = -18 Add '6' to each side of the equation. -6 + 6 + 6x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -18 + 6 6x = -18 + 6 Combine like terms: -18 + 6 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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