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Simplifying 6(3x + -8) + -8 = 6(x + -3) + 22 Reorder the terms: 6(-8 + 3x) + -8 = 6(x + -3) + 22 (-8 * 6 + 3x * 6) + -8 = 6(x + -3) + 22 (-48 + 18x) + -8 = 6(x + -3) + 22 Reorder the terms: -48 + -8 + 18x = 6(x + -3) + 22 Combine like terms: -48 + -8 = -56 -56 + 18x = 6(x + -3) + 22 Reorder the terms: -56 + 18x = 6(-3 + x) + 22 -56 + 18x = (-3 * 6 + x * 6) + 22 -56 + 18x = (-18 + 6x) + 22 Reorder the terms: -56 + 18x = -18 + 22 + 6x Combine like terms: -18 + 22 = 4 -56 + 18x = 4 + 6x Solving -56 + 18x = 4 + 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. -56 + 18x + -6x = 4 + 6x + -6x Combine like terms: 18x + -6x = 12x -56 + 12x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -56 + 12x = 4 + 0 -56 + 12x = 4 Add '56' to each side of the equation. -56 + 56 + 12x = 4 + 56 Combine like terms: -56 + 56 = 0 0 + 12x = 4 + 56 12x = 4 + 56 Combine like terms: 4 + 56 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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