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Simplifying x * 6 + 7 = x * 5 + 9 * 5 Reorder the terms for easier multiplication: 6x + 7 = x * 5 + 9 * 5 Reorder the terms: 7 + 6x = x * 5 + 9 * 5 Reorder the terms for easier multiplication: 7 + 6x = 5x + 9 * 5 Multiply 9 * 5 7 + 6x = 5x + 45 Reorder the terms: 7 + 6x = 45 + 5x Solving 7 + 6x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 6x + -5x = 45 + 5x + -5x Combine like terms: 6x + -5x = 1x 7 + 1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 1x = 45 + 0 7 + 1x = 45 Add '-7' to each side of the equation. 7 + -7 + 1x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 45 + -7 1x = 45 + -7 Combine like terms: 45 + -7 = 38 1x = 38 Divide each side by '1'. x = 38 Simplifying x = 38
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