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Simplifying 2(6x + -5) + 8 = 3(2x + -5) + 1 Reorder the terms: 2(-5 + 6x) + 8 = 3(2x + -5) + 1 (-5 * 2 + 6x * 2) + 8 = 3(2x + -5) + 1 (-10 + 12x) + 8 = 3(2x + -5) + 1 Reorder the terms: -10 + 8 + 12x = 3(2x + -5) + 1 Combine like terms: -10 + 8 = -2 -2 + 12x = 3(2x + -5) + 1 Reorder the terms: -2 + 12x = 3(-5 + 2x) + 1 -2 + 12x = (-5 * 3 + 2x * 3) + 1 -2 + 12x = (-15 + 6x) + 1 Reorder the terms: -2 + 12x = -15 + 1 + 6x Combine like terms: -15 + 1 = -14 -2 + 12x = -14 + 6x Solving -2 + 12x = -14 + 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. -2 + 12x + -6x = -14 + 6x + -6x Combine like terms: 12x + -6x = 6x -2 + 6x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 6x = -14 + 0 -2 + 6x = -14 Add '2' to each side of the equation. -2 + 2 + 6x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = -14 + 2 6x = -14 + 2 Combine like terms: -14 + 2 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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