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Simplifying 6 = 6x + 2(-4x + -9) Reorder the terms: 6 = 6x + 2(-9 + -4x) 6 = 6x + (-9 * 2 + -4x * 2) 6 = 6x + (-18 + -8x) Reorder the terms: 6 = -18 + 6x + -8x Combine like terms: 6x + -8x = -2x 6 = -18 + -2x Solving 6 = -18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 2x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 2x = -18 + 0 6 + 2x = -18 Add '-6' to each side of the equation. 6 + -6 + 2x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -18 + -6 2x = -18 + -6 Combine like terms: -18 + -6 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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