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Simplifying 4x + 7 = -41 + 8x Reorder the terms: 7 + 4x = -41 + 8x Solving 7 + 4x = -41 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 4x + -8x = -41 + 8x + -8x Combine like terms: 4x + -8x = -4x 7 + -4x = -41 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -4x = -41 + 0 7 + -4x = -41 Add '-7' to each side of the equation. 7 + -7 + -4x = -41 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -41 + -7 -4x = -41 + -7 Combine like terms: -41 + -7 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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