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Simplifying 0.65x + 0.05(6 + -1x) = 0.10(-21) 0.65x + (6 * 0.05 + -1x * 0.05) = 0.10(-21) 0.65x + (0.3 + -0.05x) = 0.10(-21) Reorder the terms: 0.3 + 0.65x + -0.05x = 0.10(-21) Combine like terms: 0.65x + -0.05x = 0.6x 0.3 + 0.6x = 0.10(-21) Multiply 0.10 * -21 0.3 + 0.6x = -2.1 Solving 0.3 + 0.6x = -2.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.6x = -2.1 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.6x = -2.1 + -0.3 0.6x = -2.1 + -0.3 Combine like terms: -2.1 + -0.3 = -2.4 0.6x = -2.4 Divide each side by '0.6'. x = -4 Simplifying x = -4
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