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Simplifying 6x + 38 = 7x + 35 Reorder the terms: 38 + 6x = 7x + 35 Reorder the terms: 38 + 6x = 35 + 7x Solving 38 + 6x = 35 + 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. 38 + 6x + -7x = 35 + 7x + -7x Combine like terms: 6x + -7x = -1x 38 + -1x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 38 + -1x = 35 + 0 38 + -1x = 35 Add '-38' to each side of the equation. 38 + -38 + -1x = 35 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 35 + -38 -1x = 35 + -38 Combine like terms: 35 + -38 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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