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Simplifying 6x + -30 = -2(x + -9) Reorder the terms: -30 + 6x = -2(x + -9) Reorder the terms: -30 + 6x = -2(-9 + x) -30 + 6x = (-9 * -2 + x * -2) -30 + 6x = (18 + -2x) Solving -30 + 6x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 6x + 2x = 18 + -2x + 2x Combine like terms: 6x + 2x = 8x -30 + 8x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 8x = 18 + 0 -30 + 8x = 18 Add '30' to each side of the equation. -30 + 30 + 8x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 18 + 30 8x = 18 + 30 Combine like terms: 18 + 30 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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