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Simplifying 0.04(2x + 7) = 0.08(t + -5) + 0.68 Reorder the terms: 0.04(7 + 2x) = 0.08(t + -5) + 0.68 (7 * 0.04 + 2x * 0.04) = 0.08(t + -5) + 0.68 (0.28 + 0.08x) = 0.08(t + -5) + 0.68 Reorder the terms: 0.28 + 0.08x = 0.08(-5 + t) + 0.68 0.28 + 0.08x = (-5 * 0.08 + t * 0.08) + 0.68 0.28 + 0.08x = (-0.4 + 0.08t) + 0.68 Reorder the terms: 0.28 + 0.08x = -0.4 + 0.68 + 0.08t Combine like terms: -0.4 + 0.68 = 0.28 0.28 + 0.08x = 0.28 + 0.08t Add '-0.28' to each side of the equation. 0.28 + -0.28 + 0.08x = 0.28 + -0.28 + 0.08t Combine like terms: 0.28 + -0.28 = 0.00 0.00 + 0.08x = 0.28 + -0.28 + 0.08t 0.08x = 0.28 + -0.28 + 0.08t Combine like terms: 0.28 + -0.28 = 0.00 0.08x = 0.00 + 0.08t 0.08x = 0.08t Solving 0.08x = 0.08t Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '0.08'. x = t Simplifying x = t
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