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Simplifying 5.6x + 2.4(x + 14) = 49.6 Reorder the terms: 5.6x + 2.4(14 + x) = 49.6 5.6x + (14 * 2.4 + x * 2.4) = 49.6 5.6x + (33.6 + 2.4x) = 49.6 Reorder the terms: 33.6 + 5.6x + 2.4x = 49.6 Combine like terms: 5.6x + 2.4x = 8x 33.6 + 8x = 49.6 Solving 33.6 + 8x = 49.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33.6' to each side of the equation. 33.6 + -33.6 + 8x = 49.6 + -33.6 Combine like terms: 33.6 + -33.6 = 0.0 0.0 + 8x = 49.6 + -33.6 8x = 49.6 + -33.6 Combine like terms: 49.6 + -33.6 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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