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Simplifying 6(-5x + -7) = -402 Reorder the terms: 6(-7 + -5x) = -402 (-7 * 6 + -5x * 6) = -402 (-42 + -30x) = -402 Solving -42 + -30x = -402 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -30x = -402 + 42 Combine like terms: -42 + 42 = 0 0 + -30x = -402 + 42 -30x = -402 + 42 Combine like terms: -402 + 42 = -360 -30x = -360 Divide each side by '-30'. x = 12 Simplifying x = 12
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