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Simplifying -9x + 30 = -3(x + 6) Reorder the terms: 30 + -9x = -3(x + 6) Reorder the terms: 30 + -9x = -3(6 + x) 30 + -9x = (6 * -3 + x * -3) 30 + -9x = (-18 + -3x) Solving 30 + -9x = -18 + -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. 30 + -9x + 3x = -18 + -3x + 3x Combine like terms: -9x + 3x = -6x 30 + -6x = -18 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + -6x = -18 + 0 30 + -6x = -18 Add '-30' to each side of the equation. 30 + -30 + -6x = -18 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -18 + -30 -6x = -18 + -30 Combine like terms: -18 + -30 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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