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Simplifying -6 + -2(4 + 10x) = 6(-5x + -9) -6 + (4 * -2 + 10x * -2) = 6(-5x + -9) -6 + (-8 + -20x) = 6(-5x + -9) Combine like terms: -6 + -8 = -14 -14 + -20x = 6(-5x + -9) Reorder the terms: -14 + -20x = 6(-9 + -5x) -14 + -20x = (-9 * 6 + -5x * 6) -14 + -20x = (-54 + -30x) Solving -14 + -20x = -54 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -14 + -20x + 30x = -54 + -30x + 30x Combine like terms: -20x + 30x = 10x -14 + 10x = -54 + -30x + 30x Combine like terms: -30x + 30x = 0 -14 + 10x = -54 + 0 -14 + 10x = -54 Add '14' to each side of the equation. -14 + 14 + 10x = -54 + 14 Combine like terms: -14 + 14 = 0 0 + 10x = -54 + 14 10x = -54 + 14 Combine like terms: -54 + 14 = -40 10x = -40 Divide each side by '10'. x = -4 Simplifying x = -4
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