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Simplifying -37 = 3(2x + -1) + 2(x + 7) Reorder the terms: -37 = 3(-1 + 2x) + 2(x + 7) -37 = (-1 * 3 + 2x * 3) + 2(x + 7) -37 = (-3 + 6x) + 2(x + 7) Reorder the terms: -37 = -3 + 6x + 2(7 + x) -37 = -3 + 6x + (7 * 2 + x * 2) -37 = -3 + 6x + (14 + 2x) Reorder the terms: -37 = -3 + 14 + 6x + 2x Combine like terms: -3 + 14 = 11 -37 = 11 + 6x + 2x Combine like terms: 6x + 2x = 8x -37 = 11 + 8x Solving -37 = 11 + 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. -37 + -8x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -37 + -8x = 11 + 0 -37 + -8x = 11 Add '37' to each side of the equation. -37 + 37 + -8x = 11 + 37 Combine like terms: -37 + 37 = 0 0 + -8x = 11 + 37 -8x = 11 + 37 Combine like terms: 11 + 37 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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