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Simplifying (5x + 4) + -11 = 12x + -1(3x + 7) Reorder the terms: (4 + 5x) + -11 = 12x + -1(3x + 7) Remove parenthesis around (4 + 5x) 4 + 5x + -11 = 12x + -1(3x + 7) Reorder the terms: 4 + -11 + 5x = 12x + -1(3x + 7) Combine like terms: 4 + -11 = -7 -7 + 5x = 12x + -1(3x + 7) Reorder the terms: -7 + 5x = 12x + -1(7 + 3x) -7 + 5x = 12x + (7 * -1 + 3x * -1) -7 + 5x = 12x + (-7 + -3x) Reorder the terms: -7 + 5x = -7 + 12x + -3x Combine like terms: 12x + -3x = 9x -7 + 5x = -7 + 9x Add '7' to each side of the equation. -7 + 7 + 5x = -7 + 7 + 9x Combine like terms: -7 + 7 = 0 0 + 5x = -7 + 7 + 9x 5x = -7 + 7 + 9x Combine like terms: -7 + 7 = 0 5x = 0 + 9x 5x = 9x Solving 5x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5x + -9x = 9x + -9x Combine like terms: 5x + -9x = -4x -4x = 9x + -9x Combine like terms: 9x + -9x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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