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Simplifying 1.2x + 16.4 = 3.5x + -2 Reorder the terms: 16.4 + 1.2x = 3.5x + -2 Reorder the terms: 16.4 + 1.2x = -2 + 3.5x Solving 16.4 + 1.2x = -2 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 16.4 + 1.2x + -3.5x = -2 + 3.5x + -3.5x Combine like terms: 1.2x + -3.5x = -2.3x 16.4 + -2.3x = -2 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 16.4 + -2.3x = -2 + 0.0 16.4 + -2.3x = -2 Add '-16.4' to each side of the equation. 16.4 + -16.4 + -2.3x = -2 + -16.4 Combine like terms: 16.4 + -16.4 = 0.0 0.0 + -2.3x = -2 + -16.4 -2.3x = -2 + -16.4 Combine like terms: -2 + -16.4 = -18.4 -2.3x = -18.4 Divide each side by '-2.3'. x = 8 Simplifying x = 8
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