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Simplifying 5(0.2x + 6) + -7(1.4x + 8) = 0 Reorder the terms: 5(6 + 0.2x) + -7(1.4x + 8) = 0 (6 * 5 + 0.2x * 5) + -7(1.4x + 8) = 0 (30 + 1x) + -7(1.4x + 8) = 0 Reorder the terms: 30 + 1x + -7(8 + 1.4x) = 0 30 + 1x + (8 * -7 + 1.4x * -7) = 0 30 + 1x + (-56 + -9.8x) = 0 Reorder the terms: 30 + -56 + 1x + -9.8x = 0 Combine like terms: 30 + -56 = -26 -26 + 1x + -9.8x = 0 Combine like terms: 1x + -9.8x = -8.8x -26 + -8.8x = 0 Solving -26 + -8.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -8.8x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -8.8x = 0 + 26 -8.8x = 0 + 26 Combine like terms: 0 + 26 = 26 -8.8x = 26 Divide each side by '-8.8'. x = -2.954545455 Simplifying x = -2.954545455
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