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Simplifying 0.8x + -0.5(x + 50) = -0.14(50) Reorder the terms: 0.8x + -0.5(50 + x) = -0.14(50) 0.8x + (50 * -0.5 + x * -0.5) = -0.14(50) 0.8x + (-25 + -0.5x) = -0.14(50) Reorder the terms: -25 + 0.8x + -0.5x = -0.14(50) Combine like terms: 0.8x + -0.5x = 0.3x -25 + 0.3x = -0.14(50) Multiply -0.14 * 50 -25 + 0.3x = -7 Solving -25 + 0.3x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 0.3x = -7 + 25 Combine like terms: -25 + 25 = 0 0 + 0.3x = -7 + 25 0.3x = -7 + 25 Combine like terms: -7 + 25 = 18 0.3x = 18 Divide each side by '0.3'. x = 60 Simplifying x = 60
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