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Simplifying 1.4x + -0.5(x + -9) = 0.9(x + -5) Reorder the terms: 1.4x + -0.5(-9 + x) = 0.9(x + -5) 1.4x + (-9 * -0.5 + x * -0.5) = 0.9(x + -5) 1.4x + (4.5 + -0.5x) = 0.9(x + -5) Reorder the terms: 4.5 + 1.4x + -0.5x = 0.9(x + -5) Combine like terms: 1.4x + -0.5x = 0.9x 4.5 + 0.9x = 0.9(x + -5) Reorder the terms: 4.5 + 0.9x = 0.9(-5 + x) 4.5 + 0.9x = (-5 * 0.9 + x * 0.9) 4.5 + 0.9x = (-4.5 + 0.9x) Add '-0.9x' to each side of the equation. 4.5 + 0.9x + -0.9x = -4.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 4.5 + 0.0 = -4.5 + 0.9x + -0.9x 4.5 = -4.5 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 4.5 = -4.5 + 0.0 4.5 = -4.5 Solving 4.5 = -4.5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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