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Simplifying 6x + 2 = 7x + 4 + 45 Reorder the terms: 2 + 6x = 7x + 4 + 45 Reorder the terms: 2 + 6x = 4 + 45 + 7x Combine like terms: 4 + 45 = 49 2 + 6x = 49 + 7x Solving 2 + 6x = 49 + 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. 2 + 6x + -7x = 49 + 7x + -7x Combine like terms: 6x + -7x = -1x 2 + -1x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -1x = 49 + 0 2 + -1x = 49 Add '-2' to each side of the equation. 2 + -2 + -1x = 49 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 49 + -2 -1x = 49 + -2 Combine like terms: 49 + -2 = 47 -1x = 47 Divide each side by '-1'. x = -47 Simplifying x = -47
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