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Simplifying 8.4x + -3.2 = 4.1(3.4 + -2.1x) Reorder the terms: -3.2 + 8.4x = 4.1(3.4 + -2.1x) -3.2 + 8.4x = (3.4 * 4.1 + -2.1x * 4.1) -3.2 + 8.4x = (13.94 + -8.61x) Solving -3.2 + 8.4x = 13.94 + -8.61x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.61x' to each side of the equation. -3.2 + 8.4x + 8.61x = 13.94 + -8.61x + 8.61x Combine like terms: 8.4x + 8.61x = 17.01x -3.2 + 17.01x = 13.94 + -8.61x + 8.61x Combine like terms: -8.61x + 8.61x = 0.00 -3.2 + 17.01x = 13.94 + 0.00 -3.2 + 17.01x = 13.94 Add '3.2' to each side of the equation. -3.2 + 3.2 + 17.01x = 13.94 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + 17.01x = 13.94 + 3.2 17.01x = 13.94 + 3.2 Combine like terms: 13.94 + 3.2 = 17.14 17.01x = 17.14 Divide each side by '17.01'. x = 1.007642563 Simplifying x = 1.007642563
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