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Simplifying 0.16x + 0.4(x + -5) = 0.01(4x + -2) Reorder the terms: 0.16x + 0.4(-5 + x) = 0.01(4x + -2) 0.16x + (-5 * 0.4 + x * 0.4) = 0.01(4x + -2) 0.16x + (-2 + 0.4x) = 0.01(4x + -2) Reorder the terms: -2 + 0.16x + 0.4x = 0.01(4x + -2) Combine like terms: 0.16x + 0.4x = 0.56x -2 + 0.56x = 0.01(4x + -2) Reorder the terms: -2 + 0.56x = 0.01(-2 + 4x) -2 + 0.56x = (-2 * 0.01 + 4x * 0.01) -2 + 0.56x = (-0.02 + 0.04x) Solving -2 + 0.56x = -0.02 + 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. -2 + 0.56x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.56x + -0.04x = 0.52x -2 + 0.52x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2 + 0.52x = -0.02 + 0.00 -2 + 0.52x = -0.02 Add '2' to each side of the equation. -2 + 2 + 0.52x = -0.02 + 2 Combine like terms: -2 + 2 = 0 0 + 0.52x = -0.02 + 2 0.52x = -0.02 + 2 Combine like terms: -0.02 + 2 = 1.98 0.52x = 1.98 Divide each side by '0.52'. x = 3.807692308 Simplifying x = 3.807692308
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