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Simplifying 8(2x + -5) = 9(4x + 6) Reorder the terms: 8(-5 + 2x) = 9(4x + 6) (-5 * 8 + 2x * 8) = 9(4x + 6) (-40 + 16x) = 9(4x + 6) Reorder the terms: -40 + 16x = 9(6 + 4x) -40 + 16x = (6 * 9 + 4x * 9) -40 + 16x = (54 + 36x) Solving -40 + 16x = 54 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -40 + 16x + -36x = 54 + 36x + -36x Combine like terms: 16x + -36x = -20x -40 + -20x = 54 + 36x + -36x Combine like terms: 36x + -36x = 0 -40 + -20x = 54 + 0 -40 + -20x = 54 Add '40' to each side of the equation. -40 + 40 + -20x = 54 + 40 Combine like terms: -40 + 40 = 0 0 + -20x = 54 + 40 -20x = 54 + 40 Combine like terms: 54 + 40 = 94 -20x = 94 Divide each side by '-20'. x = -4.7 Simplifying x = -4.7
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