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Simplifying 2x + -1(7x + -15) = 4x + -12 Reorder the terms: 2x + -1(-15 + 7x) = 4x + -12 2x + (-15 * -1 + 7x * -1) = 4x + -12 2x + (15 + -7x) = 4x + -12 Reorder the terms: 15 + 2x + -7x = 4x + -12 Combine like terms: 2x + -7x = -5x 15 + -5x = 4x + -12 Reorder the terms: 15 + -5x = -12 + 4x Solving 15 + -5x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 15 + -5x + -4x = -12 + 4x + -4x Combine like terms: -5x + -4x = -9x 15 + -9x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -9x = -12 + 0 15 + -9x = -12 Add '-15' to each side of the equation. 15 + -15 + -9x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = -12 + -15 -9x = -12 + -15 Combine like terms: -12 + -15 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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