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Simplifying 42 + 6x + 10 = 11(x + -2) Reorder the terms: 42 + 10 + 6x = 11(x + -2) Combine like terms: 42 + 10 = 52 52 + 6x = 11(x + -2) Reorder the terms: 52 + 6x = 11(-2 + x) 52 + 6x = (-2 * 11 + x * 11) 52 + 6x = (-22 + 11x) Solving 52 + 6x = -22 + 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. 52 + 6x + -11x = -22 + 11x + -11x Combine like terms: 6x + -11x = -5x 52 + -5x = -22 + 11x + -11x Combine like terms: 11x + -11x = 0 52 + -5x = -22 + 0 52 + -5x = -22 Add '-52' to each side of the equation. 52 + -52 + -5x = -22 + -52 Combine like terms: 52 + -52 = 0 0 + -5x = -22 + -52 -5x = -22 + -52 Combine like terms: -22 + -52 = -74 -5x = -74 Divide each side by '-5'. x = 14.8 Simplifying x = 14.8
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