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Simplifying 7x + -1(3x + 12) = 5(x + 2) Reorder the terms: 7x + -1(12 + 3x) = 5(x + 2) 7x + (12 * -1 + 3x * -1) = 5(x + 2) 7x + (-12 + -3x) = 5(x + 2) Reorder the terms: -12 + 7x + -3x = 5(x + 2) Combine like terms: 7x + -3x = 4x -12 + 4x = 5(x + 2) Reorder the terms: -12 + 4x = 5(2 + x) -12 + 4x = (2 * 5 + x * 5) -12 + 4x = (10 + 5x) Solving -12 + 4x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + 4x + -5x = 10 + 5x + -5x Combine like terms: 4x + -5x = -1x -12 + -1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -1x = 10 + 0 -12 + -1x = 10 Add '12' to each side of the equation. -12 + 12 + -1x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 10 + 12 -1x = 10 + 12 Combine like terms: 10 + 12 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22
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