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Simplifying -2(3x + 1) + -5(x + 7) + 8 = 20 Reorder the terms: -2(1 + 3x) + -5(x + 7) + 8 = 20 (1 * -2 + 3x * -2) + -5(x + 7) + 8 = 20 (-2 + -6x) + -5(x + 7) + 8 = 20 Reorder the terms: -2 + -6x + -5(7 + x) + 8 = 20 -2 + -6x + (7 * -5 + x * -5) + 8 = 20 -2 + -6x + (-35 + -5x) + 8 = 20 Reorder the terms: -2 + -35 + 8 + -6x + -5x = 20 Combine like terms: -2 + -35 = -37 -37 + 8 + -6x + -5x = 20 Combine like terms: -37 + 8 = -29 -29 + -6x + -5x = 20 Combine like terms: -6x + -5x = -11x -29 + -11x = 20 Solving -29 + -11x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -11x = 20 + 29 Combine like terms: -29 + 29 = 0 0 + -11x = 20 + 29 -11x = 20 + 29 Combine like terms: 20 + 29 = 49 -11x = 49 Divide each side by '-11'. x = -4.454545455 Simplifying x = -4.454545455
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