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Simplifying 0.02(3 + -1x) + -0.04(x + 2) = 0.34 (3 * 0.02 + -1x * 0.02) + -0.04(x + 2) = 0.34 (0.06 + -0.02x) + -0.04(x + 2) = 0.34 Reorder the terms: 0.06 + -0.02x + -0.04(2 + x) = 0.34 0.06 + -0.02x + (2 * -0.04 + x * -0.04) = 0.34 0.06 + -0.02x + (-0.08 + -0.04x) = 0.34 Reorder the terms: 0.06 + -0.08 + -0.02x + -0.04x = 0.34 Combine like terms: 0.06 + -0.08 = -0.02 -0.02 + -0.02x + -0.04x = 0.34 Combine like terms: -0.02x + -0.04x = -0.06x -0.02 + -0.06x = 0.34 Solving -0.02 + -0.06x = 0.34 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 = 0.34 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + -0.06x = 0.34 + 0.02 -0.06x = 0.34 + 0.02 Combine like terms: 0.34 + 0.02 = 0.36 -0.06x = 0.36 Divide each side by '-0.06'. x = -6 Simplifying x = -6
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