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Simplifying 5x + -10 = 13x + 7 + 105 Reorder the terms: -10 + 5x = 13x + 7 + 105 Reorder the terms: -10 + 5x = 7 + 105 + 13x Combine like terms: 7 + 105 = 112 -10 + 5x = 112 + 13x Solving -10 + 5x = 112 + 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. -10 + 5x + -13x = 112 + 13x + -13x Combine like terms: 5x + -13x = -8x -10 + -8x = 112 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + -8x = 112 + 0 -10 + -8x = 112 Add '10' to each side of the equation. -10 + 10 + -8x = 112 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 112 + 10 -8x = 112 + 10 Combine like terms: 112 + 10 = 122 -8x = 122 Divide each side by '-8'. x = -15.25 Simplifying x = -15.25
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