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Simplifying 4x + 38 = 14x + -52 Reorder the terms: 38 + 4x = 14x + -52 Reorder the terms: 38 + 4x = -52 + 14x Solving 38 + 4x = -52 + 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 + 4x + -14x = -52 + 14x + -14x Combine like terms: 4x + -14x = -10x 38 + -10x = -52 + 14x + -14x Combine like terms: 14x + -14x = 0 38 + -10x = -52 + 0 38 + -10x = -52 Add '-38' to each side of the equation. 38 + -38 + -10x = -52 + -38 Combine like terms: 38 + -38 = 0 0 + -10x = -52 + -38 -10x = -52 + -38 Combine like terms: -52 + -38 = -90 -10x = -90 Divide each side by '-10'. x = 9 Simplifying x = 9
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