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Simplifying 0.11x + 0.2(x + -5) = 0.01(3x + -5) Reorder the terms: 0.11x + 0.2(-5 + x) = 0.01(3x + -5) 0.11x + (-5 * 0.2 + x * 0.2) = 0.01(3x + -5) 0.11x + (-1 + 0.2x) = 0.01(3x + -5) Reorder the terms: -1 + 0.11x + 0.2x = 0.01(3x + -5) Combine like terms: 0.11x + 0.2x = 0.31x -1 + 0.31x = 0.01(3x + -5) Reorder the terms: -1 + 0.31x = 0.01(-5 + 3x) -1 + 0.31x = (-5 * 0.01 + 3x * 0.01) -1 + 0.31x = (-0.05 + 0.03x) Solving -1 + 0.31x = -0.05 + 0.03x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03x' to each side of the equation. -1 + 0.31x + -0.03x = -0.05 + 0.03x + -0.03x Combine like terms: 0.31x + -0.03x = 0.28x -1 + 0.28x = -0.05 + 0.03x + -0.03x Combine like terms: 0.03x + -0.03x = 0.00 -1 + 0.28x = -0.05 + 0.00 -1 + 0.28x = -0.05 Add '1' to each side of the equation. -1 + 1 + 0.28x = -0.05 + 1 Combine like terms: -1 + 1 = 0 0 + 0.28x = -0.05 + 1 0.28x = -0.05 + 1 Combine like terms: -0.05 + 1 = 0.95 0.28x = 0.95 Divide each side by '0.28'. x = 3.392857143 Simplifying x = 3.392857143
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