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Simplifying -3x + 32 + -7x = 13 + 4x Reorder the terms: 32 + -3x + -7x = 13 + 4x Combine like terms: -3x + -7x = -10x 32 + -10x = 13 + 4x Solving 32 + -10x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 32 + -10x + -4x = 13 + 4x + -4x Combine like terms: -10x + -4x = -14x 32 + -14x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 32 + -14x = 13 + 0 32 + -14x = 13 Add '-32' to each side of the equation. 32 + -32 + -14x = 13 + -32 Combine like terms: 32 + -32 = 0 0 + -14x = 13 + -32 -14x = 13 + -32 Combine like terms: 13 + -32 = -19 -14x = -19 Divide each side by '-14'. x = 1.357142857 Simplifying x = 1.357142857
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