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Simplifying -7x + 37 = -3(1 + 5x) Reorder the terms: 37 + -7x = -3(1 + 5x) 37 + -7x = (1 * -3 + 5x * -3) 37 + -7x = (-3 + -15x) Solving 37 + -7x = -3 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 37 + -7x + 15x = -3 + -15x + 15x Combine like terms: -7x + 15x = 8x 37 + 8x = -3 + -15x + 15x Combine like terms: -15x + 15x = 0 37 + 8x = -3 + 0 37 + 8x = -3 Add '-37' to each side of the equation. 37 + -37 + 8x = -3 + -37 Combine like terms: 37 + -37 = 0 0 + 8x = -3 + -37 8x = -3 + -37 Combine like terms: -3 + -37 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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