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Simplifying 4x + 42 = 7x + 6 Reorder the terms: 42 + 4x = 7x + 6 Reorder the terms: 42 + 4x = 6 + 7x Solving 42 + 4x = 6 + 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 + 4x + -7x = 6 + 7x + -7x Combine like terms: 4x + -7x = -3x 42 + -3x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -3x = 6 + 0 42 + -3x = 6 Add '-42' to each side of the equation. 42 + -42 + -3x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -3x = 6 + -42 -3x = 6 + -42 Combine like terms: 6 + -42 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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