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Simplifying 6x + -15 + 7x + -13 = 5x + -4 + 6x + -6 Reorder the terms: -15 + -13 + 6x + 7x = 5x + -4 + 6x + -6 Combine like terms: -15 + -13 = -28 -28 + 6x + 7x = 5x + -4 + 6x + -6 Combine like terms: 6x + 7x = 13x -28 + 13x = 5x + -4 + 6x + -6 Reorder the terms: -28 + 13x = -4 + -6 + 5x + 6x Combine like terms: -4 + -6 = -10 -28 + 13x = -10 + 5x + 6x Combine like terms: 5x + 6x = 11x -28 + 13x = -10 + 11x Solving -28 + 13x = -10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -28 + 13x + -11x = -10 + 11x + -11x Combine like terms: 13x + -11x = 2x -28 + 2x = -10 + 11x + -11x Combine like terms: 11x + -11x = 0 -28 + 2x = -10 + 0 -28 + 2x = -10 Add '28' to each side of the equation. -28 + 28 + 2x = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -10 + 28 2x = -10 + 28 Combine like terms: -10 + 28 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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