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Simplifying 10x + 7 = 5x + -41 + 11x Reorder the terms: 7 + 10x = 5x + -41 + 11x Reorder the terms: 7 + 10x = -41 + 5x + 11x Combine like terms: 5x + 11x = 16x 7 + 10x = -41 + 16x Solving 7 + 10x = -41 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7 + 10x + -16x = -41 + 16x + -16x Combine like terms: 10x + -16x = -6x 7 + -6x = -41 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -6x = -41 + 0 7 + -6x = -41 Add '-7' to each side of the equation. 7 + -7 + -6x = -41 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = -41 + -7 -6x = -41 + -7 Combine like terms: -41 + -7 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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