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Simplifying 6(3x + -9) + -8 = 6(x + -4) + 22 Reorder the terms: 6(-9 + 3x) + -8 = 6(x + -4) + 22 (-9 * 6 + 3x * 6) + -8 = 6(x + -4) + 22 (-54 + 18x) + -8 = 6(x + -4) + 22 Reorder the terms: -54 + -8 + 18x = 6(x + -4) + 22 Combine like terms: -54 + -8 = -62 -62 + 18x = 6(x + -4) + 22 Reorder the terms: -62 + 18x = 6(-4 + x) + 22 -62 + 18x = (-4 * 6 + x * 6) + 22 -62 + 18x = (-24 + 6x) + 22 Reorder the terms: -62 + 18x = -24 + 22 + 6x Combine like terms: -24 + 22 = -2 -62 + 18x = -2 + 6x Solving -62 + 18x = -2 + 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. -62 + 18x + -6x = -2 + 6x + -6x Combine like terms: 18x + -6x = 12x -62 + 12x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -62 + 12x = -2 + 0 -62 + 12x = -2 Add '62' to each side of the equation. -62 + 62 + 12x = -2 + 62 Combine like terms: -62 + 62 = 0 0 + 12x = -2 + 62 12x = -2 + 62 Combine like terms: -2 + 62 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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