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Simplifying 9x + -2(6 + -2x) = 6(x + -7) + 31 9x + (6 * -2 + -2x * -2) = 6(x + -7) + 31 9x + (-12 + 4x) = 6(x + -7) + 31 Reorder the terms: -12 + 9x + 4x = 6(x + -7) + 31 Combine like terms: 9x + 4x = 13x -12 + 13x = 6(x + -7) + 31 Reorder the terms: -12 + 13x = 6(-7 + x) + 31 -12 + 13x = (-7 * 6 + x * 6) + 31 -12 + 13x = (-42 + 6x) + 31 Reorder the terms: -12 + 13x = -42 + 31 + 6x Combine like terms: -42 + 31 = -11 -12 + 13x = -11 + 6x Solving -12 + 13x = -11 + 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. -12 + 13x + -6x = -11 + 6x + -6x Combine like terms: 13x + -6x = 7x -12 + 7x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 7x = -11 + 0 -12 + 7x = -11 Add '12' to each side of the equation. -12 + 12 + 7x = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -11 + 12 7x = -11 + 12 Combine like terms: -11 + 12 = 1 7x = 1 Divide each side by '7'. x = 0.1428571429 Simplifying x = 0.1428571429
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