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Simplifying 4x + -4 + 13 = 5x + -1 + 9x Reorder the terms: -4 + 13 + 4x = 5x + -1 + 9x Combine like terms: -4 + 13 = 9 9 + 4x = 5x + -1 + 9x Reorder the terms: 9 + 4x = -1 + 5x + 9x Combine like terms: 5x + 9x = 14x 9 + 4x = -1 + 14x Solving 9 + 4x = -1 + 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. 9 + 4x + -14x = -1 + 14x + -14x Combine like terms: 4x + -14x = -10x 9 + -10x = -1 + 14x + -14x Combine like terms: 14x + -14x = 0 9 + -10x = -1 + 0 9 + -10x = -1 Add '-9' to each side of the equation. 9 + -9 + -10x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = -1 + -9 -10x = -1 + -9 Combine like terms: -1 + -9 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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