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Simplifying 2.7x + -38 = 1.5x + 4 Reorder the terms: -38 + 2.7x = 1.5x + 4 Reorder the terms: -38 + 2.7x = 4 + 1.5x Solving -38 + 2.7x = 4 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -38 + 2.7x + -1.5x = 4 + 1.5x + -1.5x Combine like terms: 2.7x + -1.5x = 1.2x -38 + 1.2x = 4 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -38 + 1.2x = 4 + 0.0 -38 + 1.2x = 4 Add '38' to each side of the equation. -38 + 38 + 1.2x = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 1.2x = 4 + 38 1.2x = 4 + 38 Combine like terms: 4 + 38 = 42 1.2x = 42 Divide each side by '1.2'. x = 35 Simplifying x = 35
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