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Simplifying 5x + 78 = 13x + -10 Reorder the terms: 78 + 5x = 13x + -10 Reorder the terms: 78 + 5x = -10 + 13x Solving 78 + 5x = -10 + 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. 78 + 5x + -13x = -10 + 13x + -13x Combine like terms: 5x + -13x = -8x 78 + -8x = -10 + 13x + -13x Combine like terms: 13x + -13x = 0 78 + -8x = -10 + 0 78 + -8x = -10 Add '-78' to each side of the equation. 78 + -78 + -8x = -10 + -78 Combine like terms: 78 + -78 = 0 0 + -8x = -10 + -78 -8x = -10 + -78 Combine like terms: -10 + -78 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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