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Simplifying 2x + 22 + 3x + -3 = 53 + -3x + 38 Reorder the terms: 22 + -3 + 2x + 3x = 53 + -3x + 38 Combine like terms: 22 + -3 = 19 19 + 2x + 3x = 53 + -3x + 38 Combine like terms: 2x + 3x = 5x 19 + 5x = 53 + -3x + 38 Reorder the terms: 19 + 5x = 53 + 38 + -3x Combine like terms: 53 + 38 = 91 19 + 5x = 91 + -3x Solving 19 + 5x = 91 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 19 + 5x + 3x = 91 + -3x + 3x Combine like terms: 5x + 3x = 8x 19 + 8x = 91 + -3x + 3x Combine like terms: -3x + 3x = 0 19 + 8x = 91 + 0 19 + 8x = 91 Add '-19' to each side of the equation. 19 + -19 + 8x = 91 + -19 Combine like terms: 19 + -19 = 0 0 + 8x = 91 + -19 8x = 91 + -19 Combine like terms: 91 + -19 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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