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Simplifying 6x + 9 = -3x + -6(5x + 2) Reorder the terms: 9 + 6x = -3x + -6(5x + 2) Reorder the terms: 9 + 6x = -3x + -6(2 + 5x) 9 + 6x = -3x + (2 * -6 + 5x * -6) 9 + 6x = -3x + (-12 + -30x) Reorder the terms: 9 + 6x = -12 + -3x + -30x Combine like terms: -3x + -30x = -33x 9 + 6x = -12 + -33x Solving 9 + 6x = -12 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 9 + 6x + 33x = -12 + -33x + 33x Combine like terms: 6x + 33x = 39x 9 + 39x = -12 + -33x + 33x Combine like terms: -33x + 33x = 0 9 + 39x = -12 + 0 9 + 39x = -12 Add '-9' to each side of the equation. 9 + -9 + 39x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 39x = -12 + -9 39x = -12 + -9 Combine like terms: -12 + -9 = -21 39x = -21 Divide each side by '39'. x = -0.5384615385 Simplifying x = -0.5384615385
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