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Simplifying 6x + -2(5x + 6) = -40 Reorder the terms: 6x + -2(6 + 5x) = -40 6x + (6 * -2 + 5x * -2) = -40 6x + (-12 + -10x) = -40 Reorder the terms: -12 + 6x + -10x = -40 Combine like terms: 6x + -10x = -4x -12 + -4x = -40 Solving -12 + -4x = -40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -4x = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -40 + 12 -4x = -40 + 12 Combine like terms: -40 + 12 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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