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Simplifying 5x + -6 = 8(2x + -20) Reorder the terms: -6 + 5x = 8(2x + -20) Reorder the terms: -6 + 5x = 8(-20 + 2x) -6 + 5x = (-20 * 8 + 2x * 8) -6 + 5x = (-160 + 16x) Solving -6 + 5x = -160 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -6 + 5x + -16x = -160 + 16x + -16x Combine like terms: 5x + -16x = -11x -6 + -11x = -160 + 16x + -16x Combine like terms: 16x + -16x = 0 -6 + -11x = -160 + 0 -6 + -11x = -160 Add '6' to each side of the equation. -6 + 6 + -11x = -160 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = -160 + 6 -11x = -160 + 6 Combine like terms: -160 + 6 = -154 -11x = -154 Divide each side by '-11'. x = 14 Simplifying x = 14
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