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Simplifying 8(x + -5) = 9(x + 6) Reorder the terms: 8(-5 + x) = 9(x + 6) (-5 * 8 + x * 8) = 9(x + 6) (-40 + 8x) = 9(x + 6) Reorder the terms: -40 + 8x = 9(6 + x) -40 + 8x = (6 * 9 + x * 9) -40 + 8x = (54 + 9x) Solving -40 + 8x = 54 + 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 + 8x + -9x = 54 + 9x + -9x Combine like terms: 8x + -9x = -1x -40 + -1x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + -1x = 54 + 0 -40 + -1x = 54 Add '40' to each side of the equation. -40 + 40 + -1x = 54 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 54 + 40 -1x = 54 + 40 Combine like terms: 54 + 40 = 94 -1x = 94 Divide each side by '-1'. x = -94 Simplifying x = -94
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