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Simplifying 41 = -7x + 2(-4x + -32) Reorder the terms: 41 = -7x + 2(-32 + -4x) 41 = -7x + (-32 * 2 + -4x * 2) 41 = -7x + (-64 + -8x) Reorder the terms: 41 = -64 + -7x + -8x Combine like terms: -7x + -8x = -15x 41 = -64 + -15x Solving 41 = -64 + -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. 41 + 15x = -64 + -15x + 15x Combine like terms: -15x + 15x = 0 41 + 15x = -64 + 0 41 + 15x = -64 Add '-41' to each side of the equation. 41 + -41 + 15x = -64 + -41 Combine like terms: 41 + -41 = 0 0 + 15x = -64 + -41 15x = -64 + -41 Combine like terms: -64 + -41 = -105 15x = -105 Divide each side by '15'. x = -7 Simplifying x = -7
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