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Simplifying 5(3x + -4) + -2x = -12 + -1(8 + -6x) + 5x Reorder the terms: 5(-4 + 3x) + -2x = -12 + -1(8 + -6x) + 5x (-4 * 5 + 3x * 5) + -2x = -12 + -1(8 + -6x) + 5x (-20 + 15x) + -2x = -12 + -1(8 + -6x) + 5x Combine like terms: 15x + -2x = 13x -20 + 13x = -12 + -1(8 + -6x) + 5x -20 + 13x = -12 + (8 * -1 + -6x * -1) + 5x -20 + 13x = -12 + (-8 + 6x) + 5x Combine like terms: -12 + -8 = -20 -20 + 13x = -20 + 6x + 5x Combine like terms: 6x + 5x = 11x -20 + 13x = -20 + 11x Add '20' to each side of the equation. -20 + 20 + 13x = -20 + 20 + 11x Combine like terms: -20 + 20 = 0 0 + 13x = -20 + 20 + 11x 13x = -20 + 20 + 11x Combine like terms: -20 + 20 = 0 13x = 0 + 11x 13x = 11x Solving 13x = 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. 13x + -11x = 11x + -11x Combine like terms: 13x + -11x = 2x 2x = 11x + -11x Combine like terms: 11x + -11x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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