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Simplifying 0.02(x + -3) + 0.04(x + 1) = 1.6 Reorder the terms: 0.02(-3 + x) + 0.04(x + 1) = 1.6 (-3 * 0.02 + x * 0.02) + 0.04(x + 1) = 1.6 (-0.06 + 0.02x) + 0.04(x + 1) = 1.6 Reorder the terms: -0.06 + 0.02x + 0.04(1 + x) = 1.6 -0.06 + 0.02x + (1 * 0.04 + x * 0.04) = 1.6 -0.06 + 0.02x + (0.04 + 0.04x) = 1.6 Reorder the terms: -0.06 + 0.04 + 0.02x + 0.04x = 1.6 Combine like terms: -0.06 + 0.04 = -0.02 -0.02 + 0.02x + 0.04x = 1.6 Combine like terms: 0.02x + 0.04x = 0.06x -0.02 + 0.06x = 1.6 Solving -0.02 + 0.06x = 1.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02' to each side of the equation. -0.02 + 0.02 + 0.06x = 1.6 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 0.06x = 1.6 + 0.02 0.06x = 1.6 + 0.02 Combine like terms: 1.6 + 0.02 = 1.62 0.06x = 1.62 Divide each side by '0.06'. x = 27 Simplifying x = 27
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