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Simplifying (7x + -2 + 12) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) Reorder the terms: (-2 + 12 + 7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) Combine like terms: -2 + 12 = 10 (10 + 7x) + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) Remove parenthesis around (10 + 7x) 10 + 7x + (-5x + -3x + 4) = -1(-1x + 7) + -1(6x + -4 + -7) Reorder the terms: 10 + 7x + (4 + -5x + -3x) = -1(-1x + 7) + -1(6x + -4 + -7) Combine like terms: -5x + -3x = -8x 10 + 7x + (4 + -8x) = -1(-1x + 7) + -1(6x + -4 + -7) Remove parenthesis around (4 + -8x) 10 + 7x + 4 + -8x = -1(-1x + 7) + -1(6x + -4 + -7) Reorder the terms: 10 + 4 + 7x + -8x = -1(-1x + 7) + -1(6x + -4 + -7) Combine like terms: 10 + 4 = 14 14 + 7x + -8x = -1(-1x + 7) + -1(6x + -4 + -7) Combine like terms: 7x + -8x = -1x 14 + -1x = -1(-1x + 7) + -1(6x + -4 + -7) Reorder the terms: 14 + -1x = -1(7 + -1x) + -1(6x + -4 + -7) 14 + -1x = (7 * -1 + -1x * -1) + -1(6x + -4 + -7) 14 + -1x = (-7 + 1x) + -1(6x + -4 + -7) Reorder the terms: 14 + -1x = -7 + 1x + -1(-4 + -7 + 6x) Combine like terms: -4 + -7 = -11 14 + -1x = -7 + 1x + -1(-11 + 6x) 14 + -1x = -7 + 1x + (-11 * -1 + 6x * -1) 14 + -1x = -7 + 1x + (11 + -6x) Reorder the terms: 14 + -1x = -7 + 11 + 1x + -6x Combine like terms: -7 + 11 = 4 14 + -1x = 4 + 1x + -6x Combine like terms: 1x + -6x = -5x 14 + -1x = 4 + -5x Solving 14 + -1x = 4 + -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. 14 + -1x + 5x = 4 + -5x + 5x Combine like terms: -1x + 5x = 4x 14 + 4x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 4x = 4 + 0 14 + 4x = 4 Add '-14' to each side of the equation. 14 + -14 + 4x = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 4 + -14 4x = 4 + -14 Combine like terms: 4 + -14 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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