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Simplifying 1.3x + 8.4 = 3.2x + -3 Reorder the terms: 8.4 + 1.3x = 3.2x + -3 Reorder the terms: 8.4 + 1.3x = -3 + 3.2x Solving 8.4 + 1.3x = -3 + 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. 8.4 + 1.3x + -3.2x = -3 + 3.2x + -3.2x Combine like terms: 1.3x + -3.2x = -1.9x 8.4 + -1.9x = -3 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 8.4 + -1.9x = -3 + 0.0 8.4 + -1.9x = -3 Add '-8.4' to each side of the equation. 8.4 + -8.4 + -1.9x = -3 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + -1.9x = -3 + -8.4 -1.9x = -3 + -8.4 Combine like terms: -3 + -8.4 = -11.4 -1.9x = -11.4 Divide each side by '-1.9'. x = 6 Simplifying x = 6
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