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Simplifying 4x + 2 + 5x + 3 = 3x + 53 Reorder the terms: 2 + 3 + 4x + 5x = 3x + 53 Combine like terms: 2 + 3 = 5 5 + 4x + 5x = 3x + 53 Combine like terms: 4x + 5x = 9x 5 + 9x = 3x + 53 Reorder the terms: 5 + 9x = 53 + 3x Solving 5 + 9x = 53 + 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. 5 + 9x + -3x = 53 + 3x + -3x Combine like terms: 9x + -3x = 6x 5 + 6x = 53 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 6x = 53 + 0 5 + 6x = 53 Add '-5' to each side of the equation. 5 + -5 + 6x = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 53 + -5 6x = 53 + -5 Combine like terms: 53 + -5 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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