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Simplifying 7x + 15 + -5x = 8x + -13 Reorder the terms: 15 + 7x + -5x = 8x + -13 Combine like terms: 7x + -5x = 2x 15 + 2x = 8x + -13 Reorder the terms: 15 + 2x = -13 + 8x Solving 15 + 2x = -13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 2x + -8x = -13 + 8x + -8x Combine like terms: 2x + -8x = -6x 15 + -6x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -6x = -13 + 0 15 + -6x = -13 Add '-15' to each side of the equation. 15 + -15 + -6x = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -13 + -15 -6x = -13 + -15 Combine like terms: -13 + -15 = -28 -6x = -28 Divide each side by '-6'. x = 4.666666667 Simplifying x = 4.666666667
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