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Simplifying -4x + -7(6x + 6) = -410 Reorder the terms: -4x + -7(6 + 6x) = -410 -4x + (6 * -7 + 6x * -7) = -410 -4x + (-42 + -42x) = -410 Reorder the terms: -42 + -4x + -42x = -410 Combine like terms: -4x + -42x = -46x -42 + -46x = -410 Solving -42 + -46x = -410 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 + -46x = -410 + 42 Combine like terms: -42 + 42 = 0 0 + -46x = -410 + 42 -46x = -410 + 42 Combine like terms: -410 + 42 = -368 -46x = -368 Divide each side by '-46'. x = 8 Simplifying x = 8
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