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Simplifying 5x + 13 = 8x + -11 Reorder the terms: 13 + 5x = 8x + -11 Reorder the terms: 13 + 5x = -11 + 8x Solving 13 + 5x = -11 + 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 = -11 + 8x + -8x Combine like terms: 5x + -8x = -3x 13 + -3x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + -3x = -11 + 0 13 + -3x = -11 Add '-13' to each side of the equation. 13 + -13 + -3x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -11 + -13 -3x = -11 + -13 Combine like terms: -11 + -13 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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