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Simplifying 3x + 2(x + -7) = (9x + -1) + -1(x + -8) Reorder the terms: 3x + 2(-7 + x) = (9x + -1) + -1(x + -8) 3x + (-7 * 2 + x * 2) = (9x + -1) + -1(x + -8) 3x + (-14 + 2x) = (9x + -1) + -1(x + -8) Reorder the terms: -14 + 3x + 2x = (9x + -1) + -1(x + -8) Combine like terms: 3x + 2x = 5x -14 + 5x = (9x + -1) + -1(x + -8) Reorder the terms: -14 + 5x = (-1 + 9x) + -1(x + -8) Remove parenthesis around (-1 + 9x) -14 + 5x = -1 + 9x + -1(x + -8) Reorder the terms: -14 + 5x = -1 + 9x + -1(-8 + x) -14 + 5x = -1 + 9x + (-8 * -1 + x * -1) -14 + 5x = -1 + 9x + (8 + -1x) Reorder the terms: -14 + 5x = -1 + 8 + 9x + -1x Combine like terms: -1 + 8 = 7 -14 + 5x = 7 + 9x + -1x Combine like terms: 9x + -1x = 8x -14 + 5x = 7 + 8x Solving -14 + 5x = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 7 + 8x + -8x Combine like terms: 5x + -8x = -3x -14 + -3x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -3x = 7 + 0 -14 + -3x = 7 Add '14' to each side of the equation. -14 + 14 + -3x = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = 7 + 14 -3x = 7 + 14 Combine like terms: 7 + 14 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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