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Simplifying 6(-3x + -9) = -2(-3x + -9) Reorder the terms: 6(-9 + -3x) = -2(-3x + -9) (-9 * 6 + -3x * 6) = -2(-3x + -9) (-54 + -18x) = -2(-3x + -9) Reorder the terms: -54 + -18x = -2(-9 + -3x) -54 + -18x = (-9 * -2 + -3x * -2) -54 + -18x = (18 + 6x) Solving -54 + -18x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -54 + -18x + -6x = 18 + 6x + -6x Combine like terms: -18x + -6x = -24x -54 + -24x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -54 + -24x = 18 + 0 -54 + -24x = 18 Add '54' to each side of the equation. -54 + 54 + -24x = 18 + 54 Combine like terms: -54 + 54 = 0 0 + -24x = 18 + 54 -24x = 18 + 54 Combine like terms: 18 + 54 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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