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Simplifying 10(0.4 + 0.3) + 21(0.6x + -0.8) = 0 Combine like terms: 0.4 + 0.3 = 0.7 10(0.7) + 21(0.6x + -0.8) = 0 Multiply 10 * 0.7 7 + 21(0.6x + -0.8) = 0 Reorder the terms: 7 + 21(-0.8 + 0.6x) = 0 7 + (-0.8 * 21 + 0.6x * 21) = 0 7 + (-16.8 + 12.6x) = 0 Combine like terms: 7 + -16.8 = -9.8 -9.8 + 12.6x = 0 Solving -9.8 + 12.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.8' to each side of the equation. -9.8 + 9.8 + 12.6x = 0 + 9.8 Combine like terms: -9.8 + 9.8 = 0.0 0.0 + 12.6x = 0 + 9.8 12.6x = 0 + 9.8 Combine like terms: 0 + 9.8 = 9.8 12.6x = 9.8 Divide each side by '12.6'. x = 0.7777777778 Simplifying x = 0.7777777778
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