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Simplifying 0.11x + 0.2(x + -2) = 0.01(4x + -5) Reorder the terms: 0.11x + 0.2(-2 + x) = 0.01(4x + -5) 0.11x + (-2 * 0.2 + x * 0.2) = 0.01(4x + -5) 0.11x + (-0.4 + 0.2x) = 0.01(4x + -5) Reorder the terms: -0.4 + 0.11x + 0.2x = 0.01(4x + -5) Combine like terms: 0.11x + 0.2x = 0.31x -0.4 + 0.31x = 0.01(4x + -5) Reorder the terms: -0.4 + 0.31x = 0.01(-5 + 4x) -0.4 + 0.31x = (-5 * 0.01 + 4x * 0.01) -0.4 + 0.31x = (-0.05 + 0.04x) Solving -0.4 + 0.31x = -0.05 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -0.4 + 0.31x + -0.04x = -0.05 + 0.04x + -0.04x Combine like terms: 0.31x + -0.04x = 0.27x -0.4 + 0.27x = -0.05 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -0.4 + 0.27x = -0.05 + 0.00 -0.4 + 0.27x = -0.05 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.27x = -0.05 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.27x = -0.05 + 0.4 0.27x = -0.05 + 0.4 Combine like terms: -0.05 + 0.4 = 0.35 0.27x = 0.35 Divide each side by '0.27'. x = 1.296296296 Simplifying x = 1.296296296
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