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Simplifying 3.2(x + -4) + 4 + 1.7(x + -3) = 27 Reorder the terms: 3.2(-4 + x) + 4 + 1.7(x + -3) = 27 (-4 * 3.2 + x * 3.2) + 4 + 1.7(x + -3) = 27 (-12.8 + 3.2x) + 4 + 1.7(x + -3) = 27 Reorder the terms: -12.8 + 3.2x + 4 + 1.7(-3 + x) = 27 -12.8 + 3.2x + 4 + (-3 * 1.7 + x * 1.7) = 27 -12.8 + 3.2x + 4 + (-5.1 + 1.7x) = 27 Reorder the terms: -12.8 + 4 + -5.1 + 3.2x + 1.7x = 27 Combine like terms: -12.8 + 4 = -8.8 -8.8 + -5.1 + 3.2x + 1.7x = 27 Combine like terms: -8.8 + -5.1 = -13.9 -13.9 + 3.2x + 1.7x = 27 Combine like terms: 3.2x + 1.7x = 4.9x -13.9 + 4.9x = 27 Solving -13.9 + 4.9x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13.9' to each side of the equation. -13.9 + 13.9 + 4.9x = 27 + 13.9 Combine like terms: -13.9 + 13.9 = 0.0 0.0 + 4.9x = 27 + 13.9 4.9x = 27 + 13.9 Combine like terms: 27 + 13.9 = 40.9 4.9x = 40.9 Divide each side by '4.9'. x = 8.346938776 Simplifying x = 8.346938776
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