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Simplifying 5(3x + -4) + 2 = 12 Reorder the terms: 5(-4 + 3x) + 2 = 12 (-4 * 5 + 3x * 5) + 2 = 12 (-20 + 15x) + 2 = 12 Reorder the terms: -20 + 2 + 15x = 12 Combine like terms: -20 + 2 = -18 -18 + 15x = 12 Solving -18 + 15x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 15x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 15x = 12 + 18 15x = 12 + 18 Combine like terms: 12 + 18 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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