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Simplifying -7(x + 6) = -4x + -30 Reorder the terms: -7(6 + x) = -4x + -30 (6 * -7 + x * -7) = -4x + -30 (-42 + -7x) = -4x + -30 Reorder the terms: -42 + -7x = -30 + -4x Solving -42 + -7x = -30 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -42 + -7x + 4x = -30 + -4x + 4x Combine like terms: -7x + 4x = -3x -42 + -3x = -30 + -4x + 4x Combine like terms: -4x + 4x = 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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