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Simplifying 5(0.2x + 6) + -9(1.4x + 4) = 0 Reorder the terms: 5(6 + 0.2x) + -9(1.4x + 4) = 0 (6 * 5 + 0.2x * 5) + -9(1.4x + 4) = 0 (30 + 1x) + -9(1.4x + 4) = 0 Reorder the terms: 30 + 1x + -9(4 + 1.4x) = 0 30 + 1x + (4 * -9 + 1.4x * -9) = 0 30 + 1x + (-36 + -12.6x) = 0 Reorder the terms: 30 + -36 + 1x + -12.6x = 0 Combine like terms: 30 + -36 = -6 -6 + 1x + -12.6x = 0 Combine like terms: 1x + -12.6x = -11.6x -6 + -11.6x = 0 Solving -6 + -11.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -11.6x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -11.6x = 0 + 6 -11.6x = 0 + 6 Combine like terms: 0 + 6 = 6 -11.6x = 6 Divide each side by '-11.6'. x = -0.5172413793 Simplifying x = -0.5172413793
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