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Simplifying (7x + -2 + 12) + (-5x + -3x + 4) = -4x + -1(-8x + 2) Reorder the terms: (-2 + 12 + 7x) + (-5x + -3x + 4) = -4x + -1(-8x + 2) Combine like terms: -2 + 12 = 10 (10 + 7x) + (-5x + -3x + 4) = -4x + -1(-8x + 2) Remove parenthesis around (10 + 7x) 10 + 7x + (-5x + -3x + 4) = -4x + -1(-8x + 2) Reorder the terms: 10 + 7x + (4 + -5x + -3x) = -4x + -1(-8x + 2) Combine like terms: -5x + -3x = -8x 10 + 7x + (4 + -8x) = -4x + -1(-8x + 2) Remove parenthesis around (4 + -8x) 10 + 7x + 4 + -8x = -4x + -1(-8x + 2) Reorder the terms: 10 + 4 + 7x + -8x = -4x + -1(-8x + 2) Combine like terms: 10 + 4 = 14 14 + 7x + -8x = -4x + -1(-8x + 2) Combine like terms: 7x + -8x = -1x 14 + -1x = -4x + -1(-8x + 2) Reorder the terms: 14 + -1x = -4x + -1(2 + -8x) 14 + -1x = -4x + (2 * -1 + -8x * -1) 14 + -1x = -4x + (-2 + 8x) Reorder the terms: 14 + -1x = -2 + -4x + 8x Combine like terms: -4x + 8x = 4x 14 + -1x = -2 + 4x Solving 14 + -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. 14 + -1x + -4x = -2 + 4x + -4x Combine like terms: -1x + -4x = -5x 14 + -5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -5x = -2 + 0 14 + -5x = -2 Add '-14' to each side of the equation. 14 + -14 + -5x = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -2 + -14 -5x = -2 + -14 Combine like terms: -2 + -14 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2
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