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Simplifying 7x + -1(3x + 8) + 2x = 5x + 12 Reorder the terms: 7x + -1(8 + 3x) + 2x = 5x + 12 7x + (8 * -1 + 3x * -1) + 2x = 5x + 12 7x + (-8 + -3x) + 2x = 5x + 12 Reorder the terms: -8 + 7x + -3x + 2x = 5x + 12 Combine like terms: 7x + -3x = 4x -8 + 4x + 2x = 5x + 12 Combine like terms: 4x + 2x = 6x -8 + 6x = 5x + 12 Reorder the terms: -8 + 6x = 12 + 5x Solving -8 + 6x = 12 + 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. -8 + 6x + -5x = 12 + 5x + -5x Combine like terms: 6x + -5x = 1x -8 + 1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 1x = 12 + 0 -8 + 1x = 12 Add '8' to each side of the equation. -8 + 8 + 1x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 12 + 8 1x = 12 + 8 Combine like terms: 12 + 8 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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