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Simplifying 37 = 7x + 4(-6x + -12) Reorder the terms: 37 = 7x + 4(-12 + -6x) 37 = 7x + (-12 * 4 + -6x * 4) 37 = 7x + (-48 + -24x) Reorder the terms: 37 = -48 + 7x + -24x Combine like terms: 7x + -24x = -17x 37 = -48 + -17x Solving 37 = -48 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 37 + 17x = -48 + -17x + 17x Combine like terms: -17x + 17x = 0 37 + 17x = -48 + 0 37 + 17x = -48 Add '-37' to each side of the equation. 37 + -37 + 17x = -48 + -37 Combine like terms: 37 + -37 = 0 0 + 17x = -48 + -37 17x = -48 + -37 Combine like terms: -48 + -37 = -85 17x = -85 Divide each side by '17'. x = -5 Simplifying x = -5
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