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Simplifying 3(x + -7) + -14 = 2(3x + 8) Reorder the terms: 3(-7 + x) + -14 = 2(3x + 8) (-7 * 3 + x * 3) + -14 = 2(3x + 8) (-21 + 3x) + -14 = 2(3x + 8) Reorder the terms: -21 + -14 + 3x = 2(3x + 8) Combine like terms: -21 + -14 = -35 -35 + 3x = 2(3x + 8) Reorder the terms: -35 + 3x = 2(8 + 3x) -35 + 3x = (8 * 2 + 3x * 2) -35 + 3x = (16 + 6x) Solving -35 + 3x = 16 + 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. -35 + 3x + -6x = 16 + 6x + -6x Combine like terms: 3x + -6x = -3x -35 + -3x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + -3x = 16 + 0 -35 + -3x = 16 Add '35' to each side of the equation. -35 + 35 + -3x = 16 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = 16 + 35 -3x = 16 + 35 Combine like terms: 16 + 35 = 51 -3x = 51 Divide each side by '-3'. x = -17 Simplifying x = -17
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