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Simplifying 5(0.2x + 9) + -8(1.2x + 6) = 0 Reorder the terms: 5(9 + 0.2x) + -8(1.2x + 6) = 0 (9 * 5 + 0.2x * 5) + -8(1.2x + 6) = 0 (45 + 1x) + -8(1.2x + 6) = 0 Reorder the terms: 45 + 1x + -8(6 + 1.2x) = 0 45 + 1x + (6 * -8 + 1.2x * -8) = 0 45 + 1x + (-48 + -9.6x) = 0 Reorder the terms: 45 + -48 + 1x + -9.6x = 0 Combine like terms: 45 + -48 = -3 -3 + 1x + -9.6x = 0 Combine like terms: 1x + -9.6x = -8.6x -3 + -8.6x = 0 Solving -3 + -8.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8.6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8.6x = 0 + 3 -8.6x = 0 + 3 Combine like terms: 0 + 3 = 3 -8.6x = 3 Divide each side by '-8.6'. x = -0.3488372093 Simplifying x = -0.3488372093
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