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Simplifying -7(x + 6) + -41 = 3 + -23 Reorder the terms: -7(6 + x) + -41 = 3 + -23 (6 * -7 + x * -7) + -41 = 3 + -23 (-42 + -7x) + -41 = 3 + -23 Reorder the terms: -42 + -41 + -7x = 3 + -23 Combine like terms: -42 + -41 = -83 -83 + -7x = 3 + -23 Combine like terms: 3 + -23 = -20 -83 + -7x = -20 Solving -83 + -7x = -20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 83 + -7x = -20 + 83 Combine like terms: -83 + 83 = 0 0 + -7x = -20 + 83 -7x = -20 + 83 Combine like terms: -20 + 83 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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