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Simplifying 3.4x + 75 = 4.9x + 18 Reorder the terms: 75 + 3.4x = 4.9x + 18 Reorder the terms: 75 + 3.4x = 18 + 4.9x Solving 75 + 3.4x = 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. 75 + 3.4x + -4.9x = 18 + 4.9x + -4.9x Combine like terms: 3.4x + -4.9x = -1.5x 75 + -1.5x = 18 + 4.9x + -4.9x Combine like terms: 4.9x + -4.9x = 0.0 75 + -1.5x = 18 + 0.0 75 + -1.5x = 18 Add '-75' to each side of the equation. 75 + -75 + -1.5x = 18 + -75 Combine like terms: 75 + -75 = 0 0 + -1.5x = 18 + -75 -1.5x = 18 + -75 Combine like terms: 18 + -75 = -57 -1.5x = -57 Divide each side by '-1.5'. x = 38 Simplifying x = 38
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