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Simplifying 12(5 + 2x) = 4x + -1(6 + -9x) (5 * 12 + 2x * 12) = 4x + -1(6 + -9x) (60 + 24x) = 4x + -1(6 + -9x) 60 + 24x = 4x + (6 * -1 + -9x * -1) 60 + 24x = 4x + (-6 + 9x) Reorder the terms: 60 + 24x = -6 + 4x + 9x Combine like terms: 4x + 9x = 13x 60 + 24x = -6 + 13x Solving 60 + 24x = -6 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 60 + 24x + -13x = -6 + 13x + -13x Combine like terms: 24x + -13x = 11x 60 + 11x = -6 + 13x + -13x Combine like terms: 13x + -13x = 0 60 + 11x = -6 + 0 60 + 11x = -6 Add '-60' to each side of the equation. 60 + -60 + 11x = -6 + -60 Combine like terms: 60 + -60 = 0 0 + 11x = -6 + -60 11x = -6 + -60 Combine like terms: -6 + -60 = -66 11x = -66 Divide each side by '11'. x = -6 Simplifying x = -6
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