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Simplifying 7x + 15 = 13x + 51 Reorder the terms: 15 + 7x = 13x + 51 Reorder the terms: 15 + 7x = 51 + 13x Solving 15 + 7x = 51 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 15 + 7x + -13x = 51 + 13x + -13x Combine like terms: 7x + -13x = -6x 15 + -6x = 51 + 13x + -13x Combine like terms: 13x + -13x = 0 15 + -6x = 51 + 0 15 + -6x = 51 Add '-15' to each side of the equation. 15 + -15 + -6x = 51 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 51 + -15 -6x = 51 + -15 Combine like terms: 51 + -15 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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