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Simplifying 5x + 13 = -8x + 78 Reorder the terms: 13 + 5x = -8x + 78 Reorder the terms: 13 + 5x = 78 + -8x Solving 13 + 5x = 78 + -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. 13 + 5x + 8x = 78 + -8x + 8x Combine like terms: 5x + 8x = 13x 13 + 13x = 78 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + 13x = 78 + 0 13 + 13x = 78 Add '-13' to each side of the equation. 13 + -13 + 13x = 78 + -13 Combine like terms: 13 + -13 = 0 0 + 13x = 78 + -13 13x = 78 + -13 Combine like terms: 78 + -13 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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