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Simplifying 5x + -38 = 14x + -61 Reorder the terms: -38 + 5x = 14x + -61 Reorder the terms: -38 + 5x = -61 + 14x Solving -38 + 5x = -61 + 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. -38 + 5x + -14x = -61 + 14x + -14x Combine like terms: 5x + -14x = -9x -38 + -9x = -61 + 14x + -14x Combine like terms: 14x + -14x = 0 -38 + -9x = -61 + 0 -38 + -9x = -61 Add '38' to each side of the equation. -38 + 38 + -9x = -61 + 38 Combine like terms: -38 + 38 = 0 0 + -9x = -61 + 38 -9x = -61 + 38 Combine like terms: -61 + 38 = -23 -9x = -23 Divide each side by '-9'. x = 2.555555556 Simplifying x = 2.555555556
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