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Simplifying -30 + -6x = -6(3x + -7) Reorder the terms: -30 + -6x = -6(-7 + 3x) -30 + -6x = (-7 * -6 + 3x * -6) -30 + -6x = (42 + -18x) Solving -30 + -6x = 42 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -30 + -6x + 18x = 42 + -18x + 18x Combine like terms: -6x + 18x = 12x -30 + 12x = 42 + -18x + 18x Combine like terms: -18x + 18x = 0 -30 + 12x = 42 + 0 -30 + 12x = 42 Add '30' to each side of the equation. -30 + 30 + 12x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 42 + 30 12x = 42 + 30 Combine like terms: 42 + 30 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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