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Simplifying 8x + 7 = 6x + 45 Reorder the terms: 7 + 8x = 6x + 45 Reorder the terms: 7 + 8x = 45 + 6x Solving 7 + 8x = 45 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 8x + -6x = 45 + 6x + -6x Combine like terms: 8x + -6x = 2x 7 + 2x = 45 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 2x = 45 + 0 7 + 2x = 45 Add '-7' to each side of the equation. 7 + -7 + 2x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 45 + -7 2x = 45 + -7 Combine like terms: 45 + -7 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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