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Simplifying 5x + -13 = -107 + -10x Reorder the terms: -13 + 5x = -107 + -10x Solving -13 + 5x = -107 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -13 + 5x + 10x = -107 + -10x + 10x Combine like terms: 5x + 10x = 15x -13 + 15x = -107 + -10x + 10x Combine like terms: -10x + 10x = 0 -13 + 15x = -107 + 0 -13 + 15x = -107 Add '13' to each side of the equation. -13 + 13 + 15x = -107 + 13 Combine like terms: -13 + 13 = 0 0 + 15x = -107 + 13 15x = -107 + 13 Combine like terms: -107 + 13 = -94 15x = -94 Divide each side by '15'. x = -6.266666667 Simplifying x = -6.266666667
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