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Simplifying 6(3x + -5) + 8 = 2(3x + -5) Reorder the terms: 6(-5 + 3x) + 8 = 2(3x + -5) (-5 * 6 + 3x * 6) + 8 = 2(3x + -5) (-30 + 18x) + 8 = 2(3x + -5) Reorder the terms: -30 + 8 + 18x = 2(3x + -5) Combine like terms: -30 + 8 = -22 -22 + 18x = 2(3x + -5) Reorder the terms: -22 + 18x = 2(-5 + 3x) -22 + 18x = (-5 * 2 + 3x * 2) -22 + 18x = (-10 + 6x) Solving -22 + 18x = -10 + 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. -22 + 18x + -6x = -10 + 6x + -6x Combine like terms: 18x + -6x = 12x -22 + 12x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -22 + 12x = -10 + 0 -22 + 12x = -10 Add '22' to each side of the equation. -22 + 22 + 12x = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 12x = -10 + 22 12x = -10 + 22 Combine like terms: -10 + 22 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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