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Simplifying 8(x + -5) + x = 9(2 + -1x) Reorder the terms: 8(-5 + x) + x = 9(2 + -1x) (-5 * 8 + x * 8) + x = 9(2 + -1x) (-40 + 8x) + x = 9(2 + -1x) Combine like terms: 8x + x = 9x -40 + 9x = 9(2 + -1x) -40 + 9x = (2 * 9 + -1x * 9) -40 + 9x = (18 + -9x) Solving -40 + 9x = 18 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -40 + 9x + 9x = 18 + -9x + 9x Combine like terms: 9x + 9x = 18x -40 + 18x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 -40 + 18x = 18 + 0 -40 + 18x = 18 Add '40' to each side of the equation. -40 + 40 + 18x = 18 + 40 Combine like terms: -40 + 40 = 0 0 + 18x = 18 + 40 18x = 18 + 40 Combine like terms: 18 + 40 = 58 18x = 58 Divide each side by '18'. x = 3.222222222 Simplifying x = 3.222222222
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