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Simplifying -22x + -6(5 + -5x) = 6(x + -6) + -12 -22x + (5 * -6 + -5x * -6) = 6(x + -6) + -12 -22x + (-30 + 30x) = 6(x + -6) + -12 Reorder the terms: -30 + -22x + 30x = 6(x + -6) + -12 Combine like terms: -22x + 30x = 8x -30 + 8x = 6(x + -6) + -12 Reorder the terms: -30 + 8x = 6(-6 + x) + -12 -30 + 8x = (-6 * 6 + x * 6) + -12 -30 + 8x = (-36 + 6x) + -12 Reorder the terms: -30 + 8x = -36 + -12 + 6x Combine like terms: -36 + -12 = -48 -30 + 8x = -48 + 6x Solving -30 + 8x = -48 + 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 + 8x + -6x = -48 + 6x + -6x Combine like terms: 8x + -6x = 2x -30 + 2x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 2x = -48 + 0 -30 + 2x = -48 Add '30' to each side of the equation. -30 + 30 + 2x = -48 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -48 + 30 2x = -48 + 30 Combine like terms: -48 + 30 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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