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Simplifying 0.11x + 0.2(x + -2) = 0.01(5x + -3) * fraction Reorder the terms: 0.11x + 0.2(-2 + x) = 0.01(5x + -3) * fraction 0.11x + (-2 * 0.2 + x * 0.2) = 0.01(5x + -3) * fraction 0.11x + (-0.4 + 0.2x) = 0.01(5x + -3) * fraction Reorder the terms: -0.4 + 0.11x + 0.2x = 0.01(5x + -3) * fraction Combine like terms: 0.11x + 0.2x = 0.31x -0.4 + 0.31x = 0.01(5x + -3) * fraction Reorder the terms: -0.4 + 0.31x = 0.01(-3 + 5x) * fraction Reorder the terms for easier multiplication: -0.4 + 0.31x = 0.01acfinort(-3 + 5x) -0.4 + 0.31x = (-3 * 0.01acfinort + 5x * 0.01acfinort) -0.4 + 0.31x = (-0.03acfinort + 0.05acfinortx) Solving -0.4 + 0.31x = -0.03acfinort + 0.05acfinortx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05acfinortx' to each side of the equation. -0.4 + -0.05acfinortx + 0.31x = -0.03acfinort + 0.05acfinortx + -0.05acfinortx Combine like terms: 0.05acfinortx + -0.05acfinortx = 0.00 -0.4 + -0.05acfinortx + 0.31x = -0.03acfinort + 0.00 -0.4 + -0.05acfinortx + 0.31x = -0.03acfinort Add '0.4' to each side of the equation. -0.4 + -0.05acfinortx + 0.4 + 0.31x = 0.4 + -0.03acfinort Reorder the terms: -0.4 + 0.4 + -0.05acfinortx + 0.31x = 0.4 + -0.03acfinort Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.05acfinortx + 0.31x = 0.4 + -0.03acfinort -0.05acfinortx + 0.31x = 0.4 + -0.03acfinort Reorder the terms: -0.4 + 0.03acfinort + -0.05acfinortx + 0.31x = 0.4 + -0.03acfinort + -0.4 + 0.03acfinort Reorder the terms: -0.4 + 0.03acfinort + -0.05acfinortx + 0.31x = 0.4 + -0.4 + -0.03acfinort + 0.03acfinort Combine like terms: 0.4 + -0.4 = 0.0 -0.4 + 0.03acfinort + -0.05acfinortx + 0.31x = 0.0 + -0.03acfinort + 0.03acfinort -0.4 + 0.03acfinort + -0.05acfinortx + 0.31x = -0.03acfinort + 0.03acfinort Combine like terms: -0.03acfinort + 0.03acfinort = 0.00 -0.4 + 0.03acfinort + -0.05acfinortx + 0.31x = 0.00 The solution to this equation could not be determined.
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