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Simplifying 37 + -7x = -3 + -6(5 + 7x) 37 + -7x = -3 + (5 * -6 + 7x * -6) 37 + -7x = -3 + (-30 + -42x) Combine like terms: -3 + -30 = -33 37 + -7x = -33 + -42x Solving 37 + -7x = -33 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 37 + -7x + 42x = -33 + -42x + 42x Combine like terms: -7x + 42x = 35x 37 + 35x = -33 + -42x + 42x Combine like terms: -42x + 42x = 0 37 + 35x = -33 + 0 37 + 35x = -33 Add '-37' to each side of the equation. 37 + -37 + 35x = -33 + -37 Combine like terms: 37 + -37 = 0 0 + 35x = -33 + -37 35x = -33 + -37 Combine like terms: -33 + -37 = -70 35x = -70 Divide each side by '35'. x = -2 Simplifying x = -2
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