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Simplifying 0.18x + 0.5(x + -5) = 0.01(4x + -2) Reorder the terms: 0.18x + 0.5(-5 + x) = 0.01(4x + -2) 0.18x + (-5 * 0.5 + x * 0.5) = 0.01(4x + -2) 0.18x + (-2.5 + 0.5x) = 0.01(4x + -2) Reorder the terms: -2.5 + 0.18x + 0.5x = 0.01(4x + -2) Combine like terms: 0.18x + 0.5x = 0.68x -2.5 + 0.68x = 0.01(4x + -2) Reorder the terms: -2.5 + 0.68x = 0.01(-2 + 4x) -2.5 + 0.68x = (-2 * 0.01 + 4x * 0.01) -2.5 + 0.68x = (-0.02 + 0.04x) Solving -2.5 + 0.68x = -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. -2.5 + 0.68x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.68x + -0.04x = 0.64x -2.5 + 0.64x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2.5 + 0.64x = -0.02 + 0.00 -2.5 + 0.64x = -0.02 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.64x = -0.02 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.64x = -0.02 + 2.5 0.64x = -0.02 + 2.5 Combine like terms: -0.02 + 2.5 = 2.48 0.64x = 2.48 Divide each side by '0.64'. x = 3.875 Simplifying x = 3.875
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