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Simplifying 2x + -1(5x + 5) = 12 + 6(x + -1) Reorder the terms: 2x + -1(5 + 5x) = 12 + 6(x + -1) 2x + (5 * -1 + 5x * -1) = 12 + 6(x + -1) 2x + (-5 + -5x) = 12 + 6(x + -1) Reorder the terms: -5 + 2x + -5x = 12 + 6(x + -1) Combine like terms: 2x + -5x = -3x -5 + -3x = 12 + 6(x + -1) Reorder the terms: -5 + -3x = 12 + 6(-1 + x) -5 + -3x = 12 + (-1 * 6 + x * 6) -5 + -3x = 12 + (-6 + 6x) Combine like terms: 12 + -6 = 6 -5 + -3x = 6 + 6x Solving -5 + -3x = 6 + 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. -5 + -3x + -6x = 6 + 6x + -6x Combine like terms: -3x + -6x = -9x -5 + -9x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -9x = 6 + 0 -5 + -9x = 6 Add '5' to each side of the equation. -5 + 5 + -9x = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 6 + 5 -9x = 6 + 5 Combine like terms: 6 + 5 = 11 -9x = 11 Divide each side by '-9'. x = -1.222222222 Simplifying x = -1.222222222
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