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Simplifying 1.3641(4x + -8) + -2 = 0.685(8x + -12) Reorder the terms: 1.3641(-8 + 4x) + -2 = 0.685(8x + -12) (-8 * 1.3641 + 4x * 1.3641) + -2 = 0.685(8x + -12) (-10.9128 + 5.4564x) + -2 = 0.685(8x + -12) Reorder the terms: -10.9128 + -2 + 5.4564x = 0.685(8x + -12) Combine like terms: -10.9128 + -2 = -12.9128 -12.9128 + 5.4564x = 0.685(8x + -12) Reorder the terms: -12.9128 + 5.4564x = 0.685(-12 + 8x) -12.9128 + 5.4564x = (-12 * 0.685 + 8x * 0.685) -12.9128 + 5.4564x = (-8.22 + 5.48x) Solving -12.9128 + 5.4564x = -8.22 + 5.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.48x' to each side of the equation. -12.9128 + 5.4564x + -5.48x = -8.22 + 5.48x + -5.48x Combine like terms: 5.4564x + -5.48x = -0.0236x -12.9128 + -0.0236x = -8.22 + 5.48x + -5.48x Combine like terms: 5.48x + -5.48x = 0.00 -12.9128 + -0.0236x = -8.22 + 0.00 -12.9128 + -0.0236x = -8.22 Add '12.9128' to each side of the equation. -12.9128 + 12.9128 + -0.0236x = -8.22 + 12.9128 Combine like terms: -12.9128 + 12.9128 = 0.0000 0.0000 + -0.0236x = -8.22 + 12.9128 -0.0236x = -8.22 + 12.9128 Combine like terms: -8.22 + 12.9128 = 4.6928 -0.0236x = 4.6928 Divide each side by '-0.0236'. x = -198.8474576 Simplifying x = -198.8474576
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