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Simplifying 1.4x + 10.2 = 3.2x + -9.6 Reorder the terms: 10.2 + 1.4x = 3.2x + -9.6 Reorder the terms: 10.2 + 1.4x = -9.6 + 3.2x Solving 10.2 + 1.4x = -9.6 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 10.2 + 1.4x + -3.2x = -9.6 + 3.2x + -3.2x Combine like terms: 1.4x + -3.2x = -1.8x 10.2 + -1.8x = -9.6 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 10.2 + -1.8x = -9.6 + 0.0 10.2 + -1.8x = -9.6 Add '-10.2' to each side of the equation. 10.2 + -10.2 + -1.8x = -9.6 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -1.8x = -9.6 + -10.2 -1.8x = -9.6 + -10.2 Combine like terms: -9.6 + -10.2 = -19.8 -1.8x = -19.8 Divide each side by '-1.8'. x = 11 Simplifying x = 11
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