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Simplifying 6(2x + -7) + 12 = -5(x + -1) + 11x Reorder the terms: 6(-7 + 2x) + 12 = -5(x + -1) + 11x (-7 * 6 + 2x * 6) + 12 = -5(x + -1) + 11x (-42 + 12x) + 12 = -5(x + -1) + 11x Reorder the terms: -42 + 12 + 12x = -5(x + -1) + 11x Combine like terms: -42 + 12 = -30 -30 + 12x = -5(x + -1) + 11x Reorder the terms: -30 + 12x = -5(-1 + x) + 11x -30 + 12x = (-1 * -5 + x * -5) + 11x -30 + 12x = (5 + -5x) + 11x Combine like terms: -5x + 11x = 6x -30 + 12x = 5 + 6x Solving -30 + 12x = 5 + 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. -30 + 12x + -6x = 5 + 6x + -6x Combine like terms: 12x + -6x = 6x -30 + 6x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 6x = 5 + 0 -30 + 6x = 5 Add '30' to each side of the equation. -30 + 30 + 6x = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 5 + 30 6x = 5 + 30 Combine like terms: 5 + 30 = 35 6x = 35 Divide each side by '6'. x = 5.833333333 Simplifying x = 5.833333333
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