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Simplifying 2.4x + 83 = 4.9x + 18 Reorder the terms: 83 + 2.4x = 4.9x + 18 Reorder the terms: 83 + 2.4x = 18 + 4.9x Solving 83 + 2.4x = 18 + 4.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.9x' to each side of the equation. 83 + 2.4x + -4.9x = 18 + 4.9x + -4.9x Combine like terms: 2.4x + -4.9x = -2.5x 83 + -2.5x = 18 + 4.9x + -4.9x Combine like terms: 4.9x + -4.9x = 0.0 83 + -2.5x = 18 + 0.0 83 + -2.5x = 18 Add '-83' to each side of the equation. 83 + -83 + -2.5x = 18 + -83 Combine like terms: 83 + -83 = 0 0 + -2.5x = 18 + -83 -2.5x = 18 + -83 Combine like terms: 18 + -83 = -65 -2.5x = -65 Divide each side by '-2.5'. x = 26 Simplifying x = 26
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