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Simplifying -6 + 7(x + -3) = 37 + -1x Reorder the terms: -6 + 7(-3 + x) = 37 + -1x -6 + (-3 * 7 + x * 7) = 37 + -1x -6 + (-21 + 7x) = 37 + -1x Combine like terms: -6 + -21 = -27 -27 + 7x = 37 + -1x Solving -27 + 7x = 37 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -27 + 7x + x = 37 + -1x + x Combine like terms: 7x + x = 8x -27 + 8x = 37 + -1x + x Combine like terms: -1x + x = 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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