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Simplifying 6.4(2x + -0.9) + 3.3(x + 4.1) = 6.8x + -36 Reorder the terms: 6.4(-0.9 + 2x) + 3.3(x + 4.1) = 6.8x + -36 (-0.9 * 6.4 + 2x * 6.4) + 3.3(x + 4.1) = 6.8x + -36 (-5.76 + 12.8x) + 3.3(x + 4.1) = 6.8x + -36 Reorder the terms: -5.76 + 12.8x + 3.3(4.1 + x) = 6.8x + -36 -5.76 + 12.8x + (4.1 * 3.3 + x * 3.3) = 6.8x + -36 -5.76 + 12.8x + (13.53 + 3.3x) = 6.8x + -36 Reorder the terms: -5.76 + 13.53 + 12.8x + 3.3x = 6.8x + -36 Combine like terms: -5.76 + 13.53 = 7.77 7.77 + 12.8x + 3.3x = 6.8x + -36 Combine like terms: 12.8x + 3.3x = 16.1x 7.77 + 16.1x = 6.8x + -36 Reorder the terms: 7.77 + 16.1x = -36 + 6.8x Solving 7.77 + 16.1x = -36 + 6.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.8x' to each side of the equation. 7.77 + 16.1x + -6.8x = -36 + 6.8x + -6.8x Combine like terms: 16.1x + -6.8x = 9.3x 7.77 + 9.3x = -36 + 6.8x + -6.8x Combine like terms: 6.8x + -6.8x = 0.0 7.77 + 9.3x = -36 + 0.0 7.77 + 9.3x = -36 Add '-7.77' to each side of the equation. 7.77 + -7.77 + 9.3x = -36 + -7.77 Combine like terms: 7.77 + -7.77 = 0.00 0.00 + 9.3x = -36 + -7.77 9.3x = -36 + -7.77 Combine like terms: -36 + -7.77 = -43.77 9.3x = -43.77 Divide each side by '9.3'. x = -4.706451613 Simplifying x = -4.706451613
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