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Simplifying x * 13 + 18 = 6x + 151 Reorder the terms for easier multiplication: 13x + 18 = 6x + 151 Reorder the terms: 18 + 13x = 6x + 151 Reorder the terms: 18 + 13x = 151 + 6x Solving 18 + 13x = 151 + 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. 18 + 13x + -6x = 151 + 6x + -6x Combine like terms: 13x + -6x = 7x 18 + 7x = 151 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 7x = 151 + 0 18 + 7x = 151 Add '-18' to each side of the equation. 18 + -18 + 7x = 151 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = 151 + -18 7x = 151 + -18 Combine like terms: 151 + -18 = 133 7x = 133 Divide each side by '7'. x = 19 Simplifying x = 19
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