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Simplifying -3(-4x + -6) + -2(3x + 5) = -40 Reorder the terms: -3(-6 + -4x) + -2(3x + 5) = -40 (-6 * -3 + -4x * -3) + -2(3x + 5) = -40 (18 + 12x) + -2(3x + 5) = -40 Reorder the terms: 18 + 12x + -2(5 + 3x) = -40 18 + 12x + (5 * -2 + 3x * -2) = -40 18 + 12x + (-10 + -6x) = -40 Reorder the terms: 18 + -10 + 12x + -6x = -40 Combine like terms: 18 + -10 = 8 8 + 12x + -6x = -40 Combine like terms: 12x + -6x = 6x 8 + 6x = -40 Solving 8 + 6x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = -40 + -8 6x = -40 + -8 Combine like terms: -40 + -8 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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