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Simplifying 6x + -30 = -6(x + -3) Reorder the terms: -30 + 6x = -6(x + -3) Reorder the terms: -30 + 6x = -6(-3 + x) -30 + 6x = (-3 * -6 + x * -6) -30 + 6x = (18 + -6x) Solving -30 + 6x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -30 + 6x + 6x = 18 + -6x + 6x Combine like terms: 6x + 6x = 12x -30 + 12x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + 12x = 18 + 0 -30 + 12x = 18 Add '30' to each side of the equation. -30 + 30 + 12x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 18 + 30 12x = 18 + 30 Combine like terms: 18 + 30 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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