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Simplifying 0.1(5x + -9) + -0.04(10x + -11) = 0.14 Reorder the terms: 0.1(-9 + 5x) + -0.04(10x + -11) = 0.14 (-9 * 0.1 + 5x * 0.1) + -0.04(10x + -11) = 0.14 (-0.9 + 0.5x) + -0.04(10x + -11) = 0.14 Reorder the terms: -0.9 + 0.5x + -0.04(-11 + 10x) = 0.14 -0.9 + 0.5x + (-11 * -0.04 + 10x * -0.04) = 0.14 -0.9 + 0.5x + (0.44 + -0.4x) = 0.14 Reorder the terms: -0.9 + 0.44 + 0.5x + -0.4x = 0.14 Combine like terms: -0.9 + 0.44 = -0.46 -0.46 + 0.5x + -0.4x = 0.14 Combine like terms: 0.5x + -0.4x = 0.1x -0.46 + 0.1x = 0.14 Solving -0.46 + 0.1x = 0.14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.46' to each side of the equation. -0.46 + 0.46 + 0.1x = 0.14 + 0.46 Combine like terms: -0.46 + 0.46 = 0.00 0.00 + 0.1x = 0.14 + 0.46 0.1x = 0.14 + 0.46 Combine like terms: 0.14 + 0.46 = 0.6 0.1x = 0.6 Divide each side by '0.1'. x = 6 Simplifying x = 6
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