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Simplifying 6(3x + -8) + -6 = 6(x + -4) + 30 Reorder the terms: 6(-8 + 3x) + -6 = 6(x + -4) + 30 (-8 * 6 + 3x * 6) + -6 = 6(x + -4) + 30 (-48 + 18x) + -6 = 6(x + -4) + 30 Reorder the terms: -48 + -6 + 18x = 6(x + -4) + 30 Combine like terms: -48 + -6 = -54 -54 + 18x = 6(x + -4) + 30 Reorder the terms: -54 + 18x = 6(-4 + x) + 30 -54 + 18x = (-4 * 6 + x * 6) + 30 -54 + 18x = (-24 + 6x) + 30 Reorder the terms: -54 + 18x = -24 + 30 + 6x Combine like terms: -24 + 30 = 6 -54 + 18x = 6 + 6x Solving -54 + 18x = 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. -54 + 18x + -6x = 6 + 6x + -6x Combine like terms: 18x + -6x = 12x -54 + 12x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -54 + 12x = 6 + 0 -54 + 12x = 6 Add '54' to each side of the equation. -54 + 54 + 12x = 6 + 54 Combine like terms: -54 + 54 = 0 0 + 12x = 6 + 54 12x = 6 + 54 Combine like terms: 6 + 54 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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