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Simplifying (7x + -2 + 12) + (-5x + -3x + 2) = -4x + -1(-8x + 2) Reorder the terms: (-2 + 12 + 7x) + (-5x + -3x + 2) = -4x + -1(-8x + 2) Combine like terms: -2 + 12 = 10 (10 + 7x) + (-5x + -3x + 2) = -4x + -1(-8x + 2) Remove parenthesis around (10 + 7x) 10 + 7x + (-5x + -3x + 2) = -4x + -1(-8x + 2) Reorder the terms: 10 + 7x + (2 + -5x + -3x) = -4x + -1(-8x + 2) Combine like terms: -5x + -3x = -8x 10 + 7x + (2 + -8x) = -4x + -1(-8x + 2) Remove parenthesis around (2 + -8x) 10 + 7x + 2 + -8x = -4x + -1(-8x + 2) Reorder the terms: 10 + 2 + 7x + -8x = -4x + -1(-8x + 2) Combine like terms: 10 + 2 = 12 12 + 7x + -8x = -4x + -1(-8x + 2) Combine like terms: 7x + -8x = -1x 12 + -1x = -4x + -1(-8x + 2) Reorder the terms: 12 + -1x = -4x + -1(2 + -8x) 12 + -1x = -4x + (2 * -1 + -8x * -1) 12 + -1x = -4x + (-2 + 8x) Reorder the terms: 12 + -1x = -2 + -4x + 8x Combine like terms: -4x + 8x = 4x 12 + -1x = -2 + 4x Solving 12 + -1x = -2 + 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. 12 + -1x + -4x = -2 + 4x + -4x Combine like terms: -1x + -4x = -5x 12 + -5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -5x = -2 + 0 12 + -5x = -2 Add '-12' to each side of the equation. 12 + -12 + -5x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -2 + -12 -5x = -2 + -12 Combine like terms: -2 + -12 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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