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Simplifying -6 + -3(x + 7) = 5x + 37 Reorder the terms: -6 + -3(7 + x) = 5x + 37 -6 + (7 * -3 + x * -3) = 5x + 37 -6 + (-21 + -3x) = 5x + 37 Combine like terms: -6 + -21 = -27 -27 + -3x = 5x + 37 Reorder the terms: -27 + -3x = 37 + 5x Solving -27 + -3x = 37 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + -3x + -5x = 37 + 5x + -5x Combine like terms: -3x + -5x = -8x -27 + -8x = 37 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + -8x = 37 + 0 -27 + -8x = 37 Add '27' to each side of the equation. -27 + 27 + -8x = 37 + 27 Combine like terms: -27 + 27 = 0 0 + -8x = 37 + 27 -8x = 37 + 27 Combine like terms: 37 + 27 = 64 -8x = 64 Divide each side by '-8'. x = -8 Simplifying x = -8
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