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Simplifying -138 = 3x + 6(-3x + -3) Reorder the terms: -138 = 3x + 6(-3 + -3x) -138 = 3x + (-3 * 6 + -3x * 6) -138 = 3x + (-18 + -18x) Reorder the terms: -138 = -18 + 3x + -18x Combine like terms: 3x + -18x = -15x -138 = -18 + -15x Solving -138 = -18 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -138 + 15x = -18 + -15x + 15x Combine like terms: -15x + 15x = 0 -138 + 15x = -18 + 0 -138 + 15x = -18 Add '138' to each side of the equation. -138 + 138 + 15x = -18 + 138 Combine like terms: -138 + 138 = 0 0 + 15x = -18 + 138 15x = -18 + 138 Combine like terms: -18 + 138 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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