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Simplifying 7(x + -8) + 12 = 2(x + -7) Reorder the terms: 7(-8 + x) + 12 = 2(x + -7) (-8 * 7 + x * 7) + 12 = 2(x + -7) (-56 + 7x) + 12 = 2(x + -7) Reorder the terms: -56 + 12 + 7x = 2(x + -7) Combine like terms: -56 + 12 = -44 -44 + 7x = 2(x + -7) Reorder the terms: -44 + 7x = 2(-7 + x) -44 + 7x = (-7 * 2 + x * 2) -44 + 7x = (-14 + 2x) Solving -44 + 7x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -44 + 7x + -2x = -14 + 2x + -2x Combine like terms: 7x + -2x = 5x -44 + 5x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -44 + 5x = -14 + 0 -44 + 5x = -14 Add '44' to each side of the equation. -44 + 44 + 5x = -14 + 44 Combine like terms: -44 + 44 = 0 0 + 5x = -14 + 44 5x = -14 + 44 Combine like terms: -14 + 44 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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