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Simplifying 0.11x + 0.4(x + -3) = 0.01(5x + -4) Reorder the terms: 0.11x + 0.4(-3 + x) = 0.01(5x + -4) 0.11x + (-3 * 0.4 + x * 0.4) = 0.01(5x + -4) 0.11x + (-1.2 + 0.4x) = 0.01(5x + -4) Reorder the terms: -1.2 + 0.11x + 0.4x = 0.01(5x + -4) Combine like terms: 0.11x + 0.4x = 0.51x -1.2 + 0.51x = 0.01(5x + -4) Reorder the terms: -1.2 + 0.51x = 0.01(-4 + 5x) -1.2 + 0.51x = (-4 * 0.01 + 5x * 0.01) -1.2 + 0.51x = (-0.04 + 0.05x) Solving -1.2 + 0.51x = -0.04 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. -1.2 + 0.51x + -0.05x = -0.04 + 0.05x + -0.05x Combine like terms: 0.51x + -0.05x = 0.46x -1.2 + 0.46x = -0.04 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -1.2 + 0.46x = -0.04 + 0.00 -1.2 + 0.46x = -0.04 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.46x = -0.04 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.46x = -0.04 + 1.2 0.46x = -0.04 + 1.2 Combine like terms: -0.04 + 1.2 = 1.16 0.46x = 1.16 Divide each side by '0.46'. x = 2.52173913 Simplifying x = 2.52173913
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