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Simplifying 12x + -3(5 + 4x) = 7x + 20 12x + (5 * -3 + 4x * -3) = 7x + 20 12x + (-15 + -12x) = 7x + 20 Reorder the terms: -15 + 12x + -12x = 7x + 20 Combine like terms: 12x + -12x = 0 -15 + 0 = 7x + 20 -15 = 7x + 20 Reorder the terms: -15 = 20 + 7x Solving -15 = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -7x = 20 + 0 -15 + -7x = 20 Add '15' to each side of the equation. -15 + 15 + -7x = 20 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = 20 + 15 -7x = 20 + 15 Combine like terms: 20 + 15 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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