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Simplifying 2.4(5 + x) + 1.4x = 5(0.8) (5 * 2.4 + x * 2.4) + 1.4x = 5(0.8) (12 + 2.4x) + 1.4x = 5(0.8) Combine like terms: 2.4x + 1.4x = 3.8x 12 + 3.8x = 5(0.8) Multiply 5 * 0.8 12 + 3.8x = 4 Solving 12 + 3.8x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3.8x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 3.8x = 4 + -12 3.8x = 4 + -12 Combine like terms: 4 + -12 = -8 3.8x = -8 Divide each side by '3.8'. x = -2.105263158 Simplifying x = -2.105263158
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