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Simplifying -5(x + -6) = 40 + -3x Reorder the terms: -5(-6 + x) = 40 + -3x (-6 * -5 + x * -5) = 40 + -3x (30 + -5x) = 40 + -3x Solving 30 + -5x = 40 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 30 + -5x + 3x = 40 + -3x + 3x Combine like terms: -5x + 3x = -2x 30 + -2x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + -2x = 40 + 0 30 + -2x = 40 Add '-30' to each side of the equation. 30 + -30 + -2x = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 40 + -30 -2x = 40 + -30 Combine like terms: 40 + -30 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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