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Simplifying 9 + 6(x + -7 + -2x) = 5(x + 1) Reorder the terms: 9 + 6(-7 + x + -2x) = 5(x + 1) Combine like terms: x + -2x = -1x 9 + 6(-7 + -1x) = 5(x + 1) 9 + (-7 * 6 + -1x * 6) = 5(x + 1) 9 + (-42 + -6x) = 5(x + 1) Combine like terms: 9 + -42 = -33 -33 + -6x = 5(x + 1) Reorder the terms: -33 + -6x = 5(1 + x) -33 + -6x = (1 * 5 + x * 5) -33 + -6x = (5 + 5x) Solving -33 + -6x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -33 + -6x + -5x = 5 + 5x + -5x Combine like terms: -6x + -5x = -11x -33 + -11x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -33 + -11x = 5 + 0 -33 + -11x = 5 Add '33' to each side of the equation. -33 + 33 + -11x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + -11x = 5 + 33 -11x = 5 + 33 Combine like terms: 5 + 33 = 38 -11x = 38 Divide each side by '-11'. x = -3.454545455 Simplifying x = -3.454545455
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