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Simplifying 5.5(-5x + -8) + 6 = -5(2x + 8) Reorder the terms: 5.5(-8 + -5x) + 6 = -5(2x + 8) (-8 * 5.5 + -5x * 5.5) + 6 = -5(2x + 8) (-44 + -27.5x) + 6 = -5(2x + 8) Reorder the terms: -44 + 6 + -27.5x = -5(2x + 8) Combine like terms: -44 + 6 = -38 -38 + -27.5x = -5(2x + 8) Reorder the terms: -38 + -27.5x = -5(8 + 2x) -38 + -27.5x = (8 * -5 + 2x * -5) -38 + -27.5x = (-40 + -10x) Solving -38 + -27.5x = -40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -38 + -27.5x + 10x = -40 + -10x + 10x Combine like terms: -27.5x + 10x = -17.5x -38 + -17.5x = -40 + -10x + 10x Combine like terms: -10x + 10x = 0 -38 + -17.5x = -40 + 0 -38 + -17.5x = -40 Add '38' to each side of the equation. -38 + 38 + -17.5x = -40 + 38 Combine like terms: -38 + 38 = 0 0 + -17.5x = -40 + 38 -17.5x = -40 + 38 Combine like terms: -40 + 38 = -2 -17.5x = -2 Divide each side by '-17.5'. x = 0.1142857143 Simplifying x = 0.1142857143
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