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