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Simplifying 0.3(0.1 + -2x) + 2.6x = -7.97 (0.1 * 0.3 + -2x * 0.3) + 2.6x = -7.97 (0.03 + -0.6x) + 2.6x = -7.97 Combine like terms: -0.6x + 2.6x = 2x 0.03 + 2x = -7.97 Solving 0.03 + 2x = -7.97 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.03' to each side of the equation. 0.03 + -0.03 + 2x = -7.97 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 2x = -7.97 + -0.03 2x = -7.97 + -0.03 Combine like terms: -7.97 + -0.03 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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