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Simplifying -3x + 37 = -4(8x + -2) Reorder the terms: 37 + -3x = -4(8x + -2) Reorder the terms: 37 + -3x = -4(-2 + 8x) 37 + -3x = (-2 * -4 + 8x * -4) 37 + -3x = (8 + -32x) Solving 37 + -3x = 8 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 37 + -3x + 32x = 8 + -32x + 32x Combine like terms: -3x + 32x = 29x 37 + 29x = 8 + -32x + 32x Combine like terms: -32x + 32x = 0 37 + 29x = 8 + 0 37 + 29x = 8 Add '-37' to each side of the equation. 37 + -37 + 29x = 8 + -37 Combine like terms: 37 + -37 = 0 0 + 29x = 8 + -37 29x = 8 + -37 Combine like terms: 8 + -37 = -29 29x = -29 Divide each side by '29'. x = -1 Simplifying x = -1
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