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Simplifying 0.06(6 + -1x) + -0.02(5 + -2x) = 0.76 (6 * 0.06 + -1x * 0.06) + -0.02(5 + -2x) = 0.76 (0.36 + -0.06x) + -0.02(5 + -2x) = 0.76 0.36 + -0.06x + (5 * -0.02 + -2x * -0.02) = 0.76 0.36 + -0.06x + (-0.1 + 0.04x) = 0.76 Reorder the terms: 0.36 + -0.1 + -0.06x + 0.04x = 0.76 Combine like terms: 0.36 + -0.1 = 0.26 0.26 + -0.06x + 0.04x = 0.76 Combine like terms: -0.06x + 0.04x = -0.02x 0.26 + -0.02x = 0.76 Solving 0.26 + -0.02x = 0.76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.26' to each side of the equation. 0.26 + -0.26 + -0.02x = 0.76 + -0.26 Combine like terms: 0.26 + -0.26 = 0.00 0.00 + -0.02x = 0.76 + -0.26 -0.02x = 0.76 + -0.26 Combine like terms: 0.76 + -0.26 = 0.5 -0.02x = 0.5 Divide each side by '-0.02'. x = -25 Simplifying x = -25
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