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Simplifying 0.18x + 0.8(x + -4) = 0.01(4x + -2) Reorder the terms: 0.18x + 0.8(-4 + x) = 0.01(4x + -2) 0.18x + (-4 * 0.8 + x * 0.8) = 0.01(4x + -2) 0.18x + (-3.2 + 0.8x) = 0.01(4x + -2) Reorder the terms: -3.2 + 0.18x + 0.8x = 0.01(4x + -2) Combine like terms: 0.18x + 0.8x = 0.98x -3.2 + 0.98x = 0.01(4x + -2) Reorder the terms: -3.2 + 0.98x = 0.01(-2 + 4x) -3.2 + 0.98x = (-2 * 0.01 + 4x * 0.01) -3.2 + 0.98x = (-0.02 + 0.04x) Solving -3.2 + 0.98x = -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. -3.2 + 0.98x + -0.04x = -0.02 + 0.04x + -0.04x Combine like terms: 0.98x + -0.04x = 0.94x -3.2 + 0.94x = -0.02 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -3.2 + 0.94x = -0.02 + 0.00 -3.2 + 0.94x = -0.02 Add '3.2' to each side of the equation. -3.2 + 3.2 + 0.94x = -0.02 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 0.94x = -0.02 + 3.2 0.94x = -0.02 + 3.2 Combine like terms: -0.02 + 3.2 = 3.18 0.94x = 3.18 Divide each side by '0.94'. x = 3.382978723 Simplifying x = 3.382978723
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