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Simplifying 0.18x + 0.5(x + -4) = 0.01(4x + -1) Reorder the terms: 0.18x + 0.5(-4 + x) = 0.01(4x + -1) 0.18x + (-4 * 0.5 + x * 0.5) = 0.01(4x + -1) 0.18x + (-2 + 0.5x) = 0.01(4x + -1) Reorder the terms: -2 + 0.18x + 0.5x = 0.01(4x + -1) Combine like terms: 0.18x + 0.5x = 0.68x -2 + 0.68x = 0.01(4x + -1) Reorder the terms: -2 + 0.68x = 0.01(-1 + 4x) -2 + 0.68x = (-1 * 0.01 + 4x * 0.01) -2 + 0.68x = (-0.01 + 0.04x) Solving -2 + 0.68x = -0.01 + 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 + 0.68x + -0.04x = -0.01 + 0.04x + -0.04x Combine like terms: 0.68x + -0.04x = 0.64x -2 + 0.64x = -0.01 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -2 + 0.64x = -0.01 + 0.00 -2 + 0.64x = -0.01 Add '2' to each side of the equation. -2 + 2 + 0.64x = -0.01 + 2 Combine like terms: -2 + 2 = 0 0 + 0.64x = -0.01 + 2 0.64x = -0.01 + 2 Combine like terms: -0.01 + 2 = 1.99 0.64x = 1.99 Divide each side by '0.64'. x = 3.109375 Simplifying x = 3.109375
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