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Simplifying -3(3x + -12) = -13 + -2x Reorder the terms: -3(-12 + 3x) = -13 + -2x (-12 * -3 + 3x * -3) = -13 + -2x (36 + -9x) = -13 + -2x Solving 36 + -9x = -13 + -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. 36 + -9x + 2x = -13 + -2x + 2x Combine like terms: -9x + 2x = -7x 36 + -7x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 36 + -7x = -13 + 0 36 + -7x = -13 Add '-36' to each side of the equation. 36 + -36 + -7x = -13 + -36 Combine like terms: 36 + -36 = 0 0 + -7x = -13 + -36 -7x = -13 + -36 Combine like terms: -13 + -36 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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