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Simplifying 6x + 42 = 5x + 2x + 4 Reorder the terms: 42 + 6x = 5x + 2x + 4 Reorder the terms: 42 + 6x = 4 + 5x + 2x Combine like terms: 5x + 2x = 7x 42 + 6x = 4 + 7x Solving 42 + 6x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + 6x + -7x = 4 + 7x + -7x Combine like terms: 6x + -7x = -1x 42 + -1x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -1x = 4 + 0 42 + -1x = 4 Add '-42' to each side of the equation. 42 + -42 + -1x = 4 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 4 + -42 -1x = 4 + -42 Combine like terms: 4 + -42 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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