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Simplifying -14 + 4x = -52 + 13x Solving -14 + 4x = -52 + 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. -14 + 4x + -13x = -52 + 13x + -13x Combine like terms: 4x + -13x = -9x -14 + -9x = -52 + 13x + -13x Combine like terms: 13x + -13x = 0 -14 + -9x = -52 + 0 -14 + -9x = -52 Add '14' to each side of the equation. -14 + 14 + -9x = -52 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = -52 + 14 -9x = -52 + 14 Combine like terms: -52 + 14 = -38 -9x = -38 Divide each side by '-9'. x = 4.222222222 Simplifying x = 4.222222222
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