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Simplifying 2x + 5 + -1(2x + -7) = 2(3x + -5) + -4 Reorder the terms: 2x + 5 + -1(-7 + 2x) = 2(3x + -5) + -4 2x + 5 + (-7 * -1 + 2x * -1) = 2(3x + -5) + -4 2x + 5 + (7 + -2x) = 2(3x + -5) + -4 Reorder the terms: 5 + 7 + 2x + -2x = 2(3x + -5) + -4 Combine like terms: 5 + 7 = 12 12 + 2x + -2x = 2(3x + -5) + -4 Combine like terms: 2x + -2x = 0 12 + 0 = 2(3x + -5) + -4 12 = 2(3x + -5) + -4 Reorder the terms: 12 = 2(-5 + 3x) + -4 12 = (-5 * 2 + 3x * 2) + -4 12 = (-10 + 6x) + -4 Reorder the terms: 12 = -10 + -4 + 6x Combine like terms: -10 + -4 = -14 12 = -14 + 6x Solving 12 = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -6x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -6x = -14 + 0 12 + -6x = -14 Add '-12' to each side of the equation. 12 + -12 + -6x = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -14 + -12 -6x = -14 + -12 Combine like terms: -14 + -12 = -26 -6x = -26 Divide each side by '-6'. x = 4.333333333 Simplifying x = 4.333333333
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