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Simplifying 9x + -8(x + 5) = 6 + -3x Reorder the terms: 9x + -8(5 + x) = 6 + -3x 9x + (5 * -8 + x * -8) = 6 + -3x 9x + (-40 + -8x) = 6 + -3x Reorder the terms: -40 + 9x + -8x = 6 + -3x Combine like terms: 9x + -8x = 1x -40 + 1x = 6 + -3x Solving -40 + 1x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -40 + 1x + 3x = 6 + -3x + 3x Combine like terms: 1x + 3x = 4x -40 + 4x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -40 + 4x = 6 + 0 -40 + 4x = 6 Add '40' to each side of the equation. -40 + 40 + 4x = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = 6 + 40 4x = 6 + 40 Combine like terms: 6 + 40 = 46 4x = 46 Divide each side by '4'. x = 11.5 Simplifying x = 11.5
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