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Simplifying 4.2x + -13 = 2.7x + 5 Reorder the terms: -13 + 4.2x = 2.7x + 5 Reorder the terms: -13 + 4.2x = 5 + 2.7x Solving -13 + 4.2x = 5 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. -13 + 4.2x + -2.7x = 5 + 2.7x + -2.7x Combine like terms: 4.2x + -2.7x = 1.5x -13 + 1.5x = 5 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 -13 + 1.5x = 5 + 0.0 -13 + 1.5x = 5 Add '13' to each side of the equation. -13 + 13 + 1.5x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 1.5x = 5 + 13 1.5x = 5 + 13 Combine like terms: 5 + 13 = 18 1.5x = 18 Divide each side by '1.5'. x = 12 Simplifying x = 12
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