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Simplifying 12.4(2x + 1) = 5x + 3x + 9 Reorder the terms: 12.4(1 + 2x) = 5x + 3x + 9 (1 * 12.4 + 2x * 12.4) = 5x + 3x + 9 (12.4 + 24.8x) = 5x + 3x + 9 Reorder the terms: 12.4 + 24.8x = 9 + 5x + 3x Combine like terms: 5x + 3x = 8x 12.4 + 24.8x = 9 + 8x Solving 12.4 + 24.8x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12.4 + 24.8x + -8x = 9 + 8x + -8x Combine like terms: 24.8x + -8x = 16.8x 12.4 + 16.8x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 12.4 + 16.8x = 9 + 0 12.4 + 16.8x = 9 Add '-12.4' to each side of the equation. 12.4 + -12.4 + 16.8x = 9 + -12.4 Combine like terms: 12.4 + -12.4 = 0.0 0.0 + 16.8x = 9 + -12.4 16.8x = 9 + -12.4 Combine like terms: 9 + -12.4 = -3.4 16.8x = -3.4 Divide each side by '16.8'. x = -0.2023809524 Simplifying x = -0.2023809524
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