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Simplifying 46 + 8x = 11x + -7 Reorder the terms: 46 + 8x = -7 + 11x Solving 46 + 8x = -7 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 46 + 8x + -11x = -7 + 11x + -11x Combine like terms: 8x + -11x = -3x 46 + -3x = -7 + 11x + -11x Combine like terms: 11x + -11x = 0 46 + -3x = -7 + 0 46 + -3x = -7 Add '-46' to each side of the equation. 46 + -46 + -3x = -7 + -46 Combine like terms: 46 + -46 = 0 0 + -3x = -7 + -46 -3x = -7 + -46 Combine like terms: -7 + -46 = -53 -3x = -53 Divide each side by '-3'. x = 17.66666667 Simplifying x = 17.66666667
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