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Simplifying 2(7x + -15) = 12x + -8 Reorder the terms: 2(-15 + 7x) = 12x + -8 (-15 * 2 + 7x * 2) = 12x + -8 (-30 + 14x) = 12x + -8 Reorder the terms: -30 + 14x = -8 + 12x Solving -30 + 14x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -30 + 14x + -12x = -8 + 12x + -12x Combine like terms: 14x + -12x = 2x -30 + 2x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + 2x = -8 + 0 -30 + 2x = -8 Add '30' to each side of the equation. -30 + 30 + 2x = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -8 + 30 2x = -8 + 30 Combine like terms: -8 + 30 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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