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Simplifying 102 = -2x + -3(3x + -12) Reorder the terms: 102 = -2x + -3(-12 + 3x) 102 = -2x + (-12 * -3 + 3x * -3) 102 = -2x + (36 + -9x) Reorder the terms: 102 = 36 + -2x + -9x Combine like terms: -2x + -9x = -11x 102 = 36 + -11x Solving 102 = 36 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 102 + 11x = 36 + -11x + 11x Combine like terms: -11x + 11x = 0 102 + 11x = 36 + 0 102 + 11x = 36 Add '-102' to each side of the equation. 102 + -102 + 11x = 36 + -102 Combine like terms: 102 + -102 = 0 0 + 11x = 36 + -102 11x = 36 + -102 Combine like terms: 36 + -102 = -66 11x = -66 Divide each side by '11'. x = -6 Simplifying x = -6
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