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Simplifying 6(2x + -7) + 12 = -5(x + -1) + 11 Reorder the terms: 6(-7 + 2x) + 12 = -5(x + -1) + 11 (-7 * 6 + 2x * 6) + 12 = -5(x + -1) + 11 (-42 + 12x) + 12 = -5(x + -1) + 11 Reorder the terms: -42 + 12 + 12x = -5(x + -1) + 11 Combine like terms: -42 + 12 = -30 -30 + 12x = -5(x + -1) + 11 Reorder the terms: -30 + 12x = -5(-1 + x) + 11 -30 + 12x = (-1 * -5 + x * -5) + 11 -30 + 12x = (5 + -5x) + 11 Reorder the terms: -30 + 12x = 5 + 11 + -5x Combine like terms: 5 + 11 = 16 -30 + 12x = 16 + -5x Solving -30 + 12x = 16 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -30 + 12x + 5x = 16 + -5x + 5x Combine like terms: 12x + 5x = 17x -30 + 17x = 16 + -5x + 5x Combine like terms: -5x + 5x = 0 -30 + 17x = 16 + 0 -30 + 17x = 16 Add '30' to each side of the equation. -30 + 30 + 17x = 16 + 30 Combine like terms: -30 + 30 = 0 0 + 17x = 16 + 30 17x = 16 + 30 Combine like terms: 16 + 30 = 46 17x = 46 Divide each side by '17'. x = 2.705882353 Simplifying x = 2.705882353
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