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Simplifying 2.9x + -74 = 1.4x + 4 Reorder the terms: -74 + 2.9x = 1.4x + 4 Reorder the terms: -74 + 2.9x = 4 + 1.4x Solving -74 + 2.9x = 4 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -74 + 2.9x + -1.4x = 4 + 1.4x + -1.4x Combine like terms: 2.9x + -1.4x = 1.5x -74 + 1.5x = 4 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -74 + 1.5x = 4 + 0.0 -74 + 1.5x = 4 Add '74' to each side of the equation. -74 + 74 + 1.5x = 4 + 74 Combine like terms: -74 + 74 = 0 0 + 1.5x = 4 + 74 1.5x = 4 + 74 Combine like terms: 4 + 74 = 78 1.5x = 78 Divide each side by '1.5'. x = 52 Simplifying x = 52
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