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Simplifying 5(5x + -8) = 3(11x + -9) Reorder the terms: 5(-8 + 5x) = 3(11x + -9) (-8 * 5 + 5x * 5) = 3(11x + -9) (-40 + 25x) = 3(11x + -9) Reorder the terms: -40 + 25x = 3(-9 + 11x) -40 + 25x = (-9 * 3 + 11x * 3) -40 + 25x = (-27 + 33x) Solving -40 + 25x = -27 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -40 + 25x + -33x = -27 + 33x + -33x Combine like terms: 25x + -33x = -8x -40 + -8x = -27 + 33x + -33x Combine like terms: 33x + -33x = 0 -40 + -8x = -27 + 0 -40 + -8x = -27 Add '40' to each side of the equation. -40 + 40 + -8x = -27 + 40 Combine like terms: -40 + 40 = 0 0 + -8x = -27 + 40 -8x = -27 + 40 Combine like terms: -27 + 40 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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