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Simplifying 2x + -1(5x + -7) + -1x = 2(x + 2) + -8 Reorder the terms: 2x + -1(-7 + 5x) + -1x = 2(x + 2) + -8 2x + (-7 * -1 + 5x * -1) + -1x = 2(x + 2) + -8 2x + (7 + -5x) + -1x = 2(x + 2) + -8 Reorder the terms: 7 + 2x + -5x + -1x = 2(x + 2) + -8 Combine like terms: 2x + -5x = -3x 7 + -3x + -1x = 2(x + 2) + -8 Combine like terms: -3x + -1x = -4x 7 + -4x = 2(x + 2) + -8 Reorder the terms: 7 + -4x = 2(2 + x) + -8 7 + -4x = (2 * 2 + x * 2) + -8 7 + -4x = (4 + 2x) + -8 Reorder the terms: 7 + -4x = 4 + -8 + 2x Combine like terms: 4 + -8 = -4 7 + -4x = -4 + 2x Solving 7 + -4x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -4x + -2x = -4 + 2x + -2x Combine like terms: -4x + -2x = -6x 7 + -6x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -6x = -4 + 0 7 + -6x = -4 Add '-7' to each side of the equation. 7 + -7 + -6x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -4 + -7 -6x = -4 + -7 Combine like terms: -4 + -7 = -11 -6x = -11 Divide each side by '-6'. x = 1.833333333 Simplifying x = 1.833333333
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