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Simplifying 0.02(6x + -3) = 0.12(t + -3) + 0.18 Reorder the terms: 0.02(-3 + 6x) = 0.12(t + -3) + 0.18 (-3 * 0.02 + 6x * 0.02) = 0.12(t + -3) + 0.18 (-0.06 + 0.12x) = 0.12(t + -3) + 0.18 Reorder the terms: -0.06 + 0.12x = 0.12(-3 + t) + 0.18 -0.06 + 0.12x = (-3 * 0.12 + t * 0.12) + 0.18 -0.06 + 0.12x = (-0.36 + 0.12t) + 0.18 Reorder the terms: -0.06 + 0.12x = -0.36 + 0.18 + 0.12t Combine like terms: -0.36 + 0.18 = -0.18 -0.06 + 0.12x = -0.18 + 0.12t Solving -0.06 + 0.12x = -0.18 + 0.12t Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.12x = -0.18 + 0.06 + 0.12t Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.12x = -0.18 + 0.06 + 0.12t 0.12x = -0.18 + 0.06 + 0.12t Combine like terms: -0.18 + 0.06 = -0.12 0.12x = -0.12 + 0.12t Divide each side by '0.12'. x = -1 + t Simplifying x = -1 + t
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