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Simplifying 12x + 8 + -1(x + 15) = 2(3x + -34) Reorder the terms: 12x + 8 + -1(15 + x) = 2(3x + -34) 12x + 8 + (15 * -1 + x * -1) = 2(3x + -34) 12x + 8 + (-15 + -1x) = 2(3x + -34) Reorder the terms: 8 + -15 + 12x + -1x = 2(3x + -34) Combine like terms: 8 + -15 = -7 -7 + 12x + -1x = 2(3x + -34) Combine like terms: 12x + -1x = 11x -7 + 11x = 2(3x + -34) Reorder the terms: -7 + 11x = 2(-34 + 3x) -7 + 11x = (-34 * 2 + 3x * 2) -7 + 11x = (-68 + 6x) Solving -7 + 11x = -68 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7 + 11x + -6x = -68 + 6x + -6x Combine like terms: 11x + -6x = 5x -7 + 5x = -68 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 5x = -68 + 0 -7 + 5x = -68 Add '7' to each side of the equation. -7 + 7 + 5x = -68 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = -68 + 7 5x = -68 + 7 Combine like terms: -68 + 7 = -61 5x = -61 Divide each side by '5'. x = -12.2 Simplifying x = -12.2
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