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Simplifying 6 + 8(x + -5) = 9 + -6(x + -2) Reorder the terms: 6 + 8(-5 + x) = 9 + -6(x + -2) 6 + (-5 * 8 + x * 8) = 9 + -6(x + -2) 6 + (-40 + 8x) = 9 + -6(x + -2) Combine like terms: 6 + -40 = -34 -34 + 8x = 9 + -6(x + -2) Reorder the terms: -34 + 8x = 9 + -6(-2 + x) -34 + 8x = 9 + (-2 * -6 + x * -6) -34 + 8x = 9 + (12 + -6x) Combine like terms: 9 + 12 = 21 -34 + 8x = 21 + -6x Solving -34 + 8x = 21 + -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. -34 + 8x + 6x = 21 + -6x + 6x Combine like terms: 8x + 6x = 14x -34 + 14x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 -34 + 14x = 21 + 0 -34 + 14x = 21 Add '34' to each side of the equation. -34 + 34 + 14x = 21 + 34 Combine like terms: -34 + 34 = 0 0 + 14x = 21 + 34 14x = 21 + 34 Combine like terms: 21 + 34 = 55 14x = 55 Divide each side by '14'. x = 3.928571429 Simplifying x = 3.928571429
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