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Simplifying 3.4(2x + 3) = 5.3x + -3 Reorder the terms: 3.4(3 + 2x) = 5.3x + -3 (3 * 3.4 + 2x * 3.4) = 5.3x + -3 (10.2 + 6.8x) = 5.3x + -3 Reorder the terms: 10.2 + 6.8x = -3 + 5.3x Solving 10.2 + 6.8x = -3 + 5.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.3x' to each side of the equation. 10.2 + 6.8x + -5.3x = -3 + 5.3x + -5.3x Combine like terms: 6.8x + -5.3x = 1.5x 10.2 + 1.5x = -3 + 5.3x + -5.3x Combine like terms: 5.3x + -5.3x = 0.0 10.2 + 1.5x = -3 + 0.0 10.2 + 1.5x = -3 Add '-10.2' to each side of the equation. 10.2 + -10.2 + 1.5x = -3 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + 1.5x = -3 + -10.2 1.5x = -3 + -10.2 Combine like terms: -3 + -10.2 = -13.2 1.5x = -13.2 Divide each side by '1.5'. x = -8.8 Simplifying x = -8.8
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