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Simplifying -6(x + 7) = -30 + -3x Reorder the terms: -6(7 + x) = -30 + -3x (7 * -6 + x * -6) = -30 + -3x (-42 + -6x) = -30 + -3x Solving -42 + -6x = -30 + -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. -42 + -6x + 3x = -30 + -3x + 3x Combine like terms: -6x + 3x = -3x -42 + -3x = -30 + -3x + 3x Combine like terms: -3x + 3x = 0 -42 + -3x = -30 + 0 -42 + -3x = -30 Add '42' to each side of the equation. -42 + 42 + -3x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + -3x = -30 + 42 -3x = -30 + 42 Combine like terms: -30 + 42 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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