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Simplifying (-6) * 2x(0.2) + (4) * 2x(0.5) + (14) * 2x(0.3) = 0 Reorder the terms for easier multiplication: -6 * 2 * 0.2x + (4) * 2x(0.5) + (14) * 2x(0.3) = 0 Multiply -6 * 2 -12 * 0.2x + (4) * 2x(0.5) + (14) * 2x(0.3) = 0 Multiply -12 * 0.2 -2.4x + (4) * 2x(0.5) + (14) * 2x(0.3) = 0 Reorder the terms for easier multiplication: -2.4x + 4 * 2 * 0.5x + (14) * 2x(0.3) = 0 Multiply 4 * 2 -2.4x + 8 * 0.5x + (14) * 2x(0.3) = 0 Multiply 8 * 0.5 -2.4x + 4x + (14) * 2x(0.3) = 0 Reorder the terms for easier multiplication: -2.4x + 4x + 14 * 2 * 0.3x = 0 Multiply 14 * 2 -2.4x + 4x + 28 * 0.3x = 0 Multiply 28 * 0.3 -2.4x + 4x + 8.4x = 0 Combine like terms: -2.4x + 4x = 1.6x 1.6x + 8.4x = 0 Combine like terms: 1.6x + 8.4x = 10x 10x = 0 Solving 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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