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Simplifying 0.94(x + -2) = 0.02(6x + -3) + -0.02 Reorder the terms: 0.94(-2 + x) = 0.02(6x + -3) + -0.02 (-2 * 0.94 + x * 0.94) = 0.02(6x + -3) + -0.02 (-1.88 + 0.94x) = 0.02(6x + -3) + -0.02 Reorder the terms: -1.88 + 0.94x = 0.02(-3 + 6x) + -0.02 -1.88 + 0.94x = (-3 * 0.02 + 6x * 0.02) + -0.02 -1.88 + 0.94x = (-0.06 + 0.12x) + -0.02 Reorder the terms: -1.88 + 0.94x = -0.06 + -0.02 + 0.12x Combine like terms: -0.06 + -0.02 = -0.08 -1.88 + 0.94x = -0.08 + 0.12x Solving -1.88 + 0.94x = -0.08 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. -1.88 + 0.94x + -0.12x = -0.08 + 0.12x + -0.12x Combine like terms: 0.94x + -0.12x = 0.82x -1.88 + 0.82x = -0.08 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 -1.88 + 0.82x = -0.08 + 0.00 -1.88 + 0.82x = -0.08 Add '1.88' to each side of the equation. -1.88 + 1.88 + 0.82x = -0.08 + 1.88 Combine like terms: -1.88 + 1.88 = 0.00 0.00 + 0.82x = -0.08 + 1.88 0.82x = -0.08 + 1.88 Combine like terms: -0.08 + 1.88 = 1.8 0.82x = 1.8 Divide each side by '0.82'. x = 2.195121951 Simplifying x = 2.195121951
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