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