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Simplifying 6x + -1(6 + 9x) = 3(x + -8) 6x + (6 * -1 + 9x * -1) = 3(x + -8) 6x + (-6 + -9x) = 3(x + -8) Reorder the terms: -6 + 6x + -9x = 3(x + -8) Combine like terms: 6x + -9x = -3x -6 + -3x = 3(x + -8) Reorder the terms: -6 + -3x = 3(-8 + x) -6 + -3x = (-8 * 3 + x * 3) -6 + -3x = (-24 + 3x) Solving -6 + -3x = -24 + 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 + -3x + -3x = -24 + 3x + -3x Combine like terms: -3x + -3x = -6x -6 + -6x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -6x = -24 + 0 -6 + -6x = -24 Add '6' to each side of the equation. -6 + 6 + -6x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -24 + 6 -6x = -24 + 6 Combine like terms: -24 + 6 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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