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Simplifying (3x + -7) + -12 + -4x = 9x + -1(7x + 6) Reorder the terms: (-7 + 3x) + -12 + -4x = 9x + -1(7x + 6) Remove parenthesis around (-7 + 3x) -7 + 3x + -12 + -4x = 9x + -1(7x + 6) Reorder the terms: -7 + -12 + 3x + -4x = 9x + -1(7x + 6) Combine like terms: -7 + -12 = -19 -19 + 3x + -4x = 9x + -1(7x + 6) Combine like terms: 3x + -4x = -1x -19 + -1x = 9x + -1(7x + 6) Reorder the terms: -19 + -1x = 9x + -1(6 + 7x) -19 + -1x = 9x + (6 * -1 + 7x * -1) -19 + -1x = 9x + (-6 + -7x) Reorder the terms: -19 + -1x = -6 + 9x + -7x Combine like terms: 9x + -7x = 2x -19 + -1x = -6 + 2x Solving -19 + -1x = -6 + 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. -19 + -1x + -2x = -6 + 2x + -2x Combine like terms: -1x + -2x = -3x -19 + -3x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + -3x = -6 + 0 -19 + -3x = -6 Add '19' to each side of the equation. -19 + 19 + -3x = -6 + 19 Combine like terms: -19 + 19 = 0 0 + -3x = -6 + 19 -3x = -6 + 19 Combine like terms: -6 + 19 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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