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Simplifying 10x + -13 = 14x + -75 Reorder the terms: -13 + 10x = 14x + -75 Reorder the terms: -13 + 10x = -75 + 14x Solving -13 + 10x = -75 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -13 + 10x + -14x = -75 + 14x + -14x Combine like terms: 10x + -14x = -4x -13 + -4x = -75 + 14x + -14x Combine like terms: 14x + -14x = 0 -13 + -4x = -75 + 0 -13 + -4x = -75 Add '13' to each side of the equation. -13 + 13 + -4x = -75 + 13 Combine like terms: -13 + 13 = 0 0 + -4x = -75 + 13 -4x = -75 + 13 Combine like terms: -75 + 13 = -62 -4x = -62 Divide each side by '-4'. x = 15.5 Simplifying x = 15.5
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