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Simplifying 31 + 5(7 + -1x) = 3(2x + -11) 31 + (7 * 5 + -1x * 5) = 3(2x + -11) 31 + (35 + -5x) = 3(2x + -11) Combine like terms: 31 + 35 = 66 66 + -5x = 3(2x + -11) Reorder the terms: 66 + -5x = 3(-11 + 2x) 66 + -5x = (-11 * 3 + 2x * 3) 66 + -5x = (-33 + 6x) Solving 66 + -5x = -33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 66 + -5x + -6x = -33 + 6x + -6x Combine like terms: -5x + -6x = -11x 66 + -11x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 66 + -11x = -33 + 0 66 + -11x = -33 Add '-66' to each side of the equation. 66 + -66 + -11x = -33 + -66 Combine like terms: 66 + -66 = 0 0 + -11x = -33 + -66 -11x = -33 + -66 Combine like terms: -33 + -66 = -99 -11x = -99 Divide each side by '-11'. x = 9 Simplifying x = 9
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