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Simplifying 5x + 65 = 8x + -13 Reorder the terms: 65 + 5x = 8x + -13 Reorder the terms: 65 + 5x = -13 + 8x Solving 65 + 5x = -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. 65 + 5x + -8x = -13 + 8x + -8x Combine like terms: 5x + -8x = -3x 65 + -3x = -13 + 8x + -8x Combine like terms: 8x + -8x = 0 65 + -3x = -13 + 0 65 + -3x = -13 Add '-65' to each side of the equation. 65 + -65 + -3x = -13 + -65 Combine like terms: 65 + -65 = 0 0 + -3x = -13 + -65 -3x = -13 + -65 Combine like terms: -13 + -65 = -78 -3x = -78 Divide each side by '-3'. x = 26 Simplifying x = 26
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