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Simplifying 5x + 18 = 13x + -78 Reorder the terms: 18 + 5x = 13x + -78 Reorder the terms: 18 + 5x = -78 + 13x Solving 18 + 5x = -78 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 18 + 5x + -13x = -78 + 13x + -13x Combine like terms: 5x + -13x = -8x 18 + -8x = -78 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + -8x = -78 + 0 18 + -8x = -78 Add '-18' to each side of the equation. 18 + -18 + -8x = -78 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -78 + -18 -8x = -78 + -18 Combine like terms: -78 + -18 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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