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Simplifying 4.2x + 68 = 6.7x + 13 Reorder the terms: 68 + 4.2x = 6.7x + 13 Reorder the terms: 68 + 4.2x = 13 + 6.7x Solving 68 + 4.2x = 13 + 6.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7x' to each side of the equation. 68 + 4.2x + -6.7x = 13 + 6.7x + -6.7x Combine like terms: 4.2x + -6.7x = -2.5x 68 + -2.5x = 13 + 6.7x + -6.7x Combine like terms: 6.7x + -6.7x = 0.0 68 + -2.5x = 13 + 0.0 68 + -2.5x = 13 Add '-68' to each side of the equation. 68 + -68 + -2.5x = 13 + -68 Combine like terms: 68 + -68 = 0 0 + -2.5x = 13 + -68 -2.5x = 13 + -68 Combine like terms: 13 + -68 = -55 -2.5x = -55 Divide each side by '-2.5'. x = 22 Simplifying x = 22
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