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Simplifying -6x + 5(-2x + -6) = -40 + -6x Reorder the terms: -6x + 5(-6 + -2x) = -40 + -6x -6x + (-6 * 5 + -2x * 5) = -40 + -6x -6x + (-30 + -10x) = -40 + -6x Reorder the terms: -30 + -6x + -10x = -40 + -6x Combine like terms: -6x + -10x = -16x -30 + -16x = -40 + -6x Solving -30 + -16x = -40 + -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. -30 + -16x + 6x = -40 + -6x + 6x Combine like terms: -16x + 6x = -10x -30 + -10x = -40 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + -10x = -40 + 0 -30 + -10x = -40 Add '30' to each side of the equation. -30 + 30 + -10x = -40 + 30 Combine like terms: -30 + 30 = 0 0 + -10x = -40 + 30 -10x = -40 + 30 Combine like terms: -40 + 30 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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