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Simplifying 3x + -53 = -4x + 38 Reorder the terms: -53 + 3x = -4x + 38 Reorder the terms: -53 + 3x = 38 + -4x Solving -53 + 3x = 38 + -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. -53 + 3x + 4x = 38 + -4x + 4x Combine like terms: 3x + 4x = 7x -53 + 7x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -53 + 7x = 38 + 0 -53 + 7x = 38 Add '53' to each side of the equation. -53 + 53 + 7x = 38 + 53 Combine like terms: -53 + 53 = 0 0 + 7x = 38 + 53 7x = 38 + 53 Combine like terms: 38 + 53 = 91 7x = 91 Divide each side by '7'. x = 13 Simplifying x = 13
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