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Simplifying 0.6x + -0.5(80 + x) = -0.45(80) 0.6x + (80 * -0.5 + x * -0.5) = -0.45(80) 0.6x + (-40 + -0.5x) = -0.45(80) Reorder the terms: -40 + 0.6x + -0.5x = -0.45(80) Combine like terms: 0.6x + -0.5x = 0.1x -40 + 0.1x = -0.45(80) Multiply -0.45 * 80 -40 + 0.1x = -36 Solving -40 + 0.1x = -36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 0.1x = -36 + 40 Combine like terms: -40 + 40 = 0 0 + 0.1x = -36 + 40 0.1x = -36 + 40 Combine like terms: -36 + 40 = 4 0.1x = 4 Divide each side by '0.1'. x = 40 Simplifying x = 40
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