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Simplifying 6.4(x + 4) + 4 * 4 + 3.4(x + -3) = 54 Reorder the terms: 6.4(4 + x) + 4 * 4 + 3.4(x + -3) = 54 (4 * 6.4 + x * 6.4) + 4 * 4 + 3.4(x + -3) = 54 (25.6 + 6.4x) + 4 * 4 + 3.4(x + -3) = 54 Multiply 4 * 4 25.6 + 6.4x + 16 + 3.4(x + -3) = 54 Reorder the terms: 25.6 + 6.4x + 16 + 3.4(-3 + x) = 54 25.6 + 6.4x + 16 + (-3 * 3.4 + x * 3.4) = 54 25.6 + 6.4x + 16 + (-10.2 + 3.4x) = 54 Reorder the terms: 25.6 + 16 + -10.2 + 6.4x + 3.4x = 54 Combine like terms: 25.6 + 16 = 41.6 41.6 + -10.2 + 6.4x + 3.4x = 54 Combine like terms: 41.6 + -10.2 = 31.4 31.4 + 6.4x + 3.4x = 54 Combine like terms: 6.4x + 3.4x = 9.8x 31.4 + 9.8x = 54 Solving 31.4 + 9.8x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31.4' to each side of the equation. 31.4 + -31.4 + 9.8x = 54 + -31.4 Combine like terms: 31.4 + -31.4 = 0.0 0.0 + 9.8x = 54 + -31.4 9.8x = 54 + -31.4 Combine like terms: 54 + -31.4 = 22.6 9.8x = 22.6 Divide each side by '9.8'. x = 2.306122449 Simplifying x = 2.306122449
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