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Simplifying 3x + 23 + 2x + -4 = 53 + -4x + 29 Reorder the terms: 23 + -4 + 3x + 2x = 53 + -4x + 29 Combine like terms: 23 + -4 = 19 19 + 3x + 2x = 53 + -4x + 29 Combine like terms: 3x + 2x = 5x 19 + 5x = 53 + -4x + 29 Reorder the terms: 19 + 5x = 53 + 29 + -4x Combine like terms: 53 + 29 = 82 19 + 5x = 82 + -4x Solving 19 + 5x = 82 + -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. 19 + 5x + 4x = 82 + -4x + 4x Combine like terms: 5x + 4x = 9x 19 + 9x = 82 + -4x + 4x Combine like terms: -4x + 4x = 0 19 + 9x = 82 + 0 19 + 9x = 82 Add '-19' to each side of the equation. 19 + -19 + 9x = 82 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 82 + -19 9x = 82 + -19 Combine like terms: 82 + -19 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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