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Simplifying 3 + 17x + -2 = 8x + 53 + -4x Reorder the terms: 3 + -2 + 17x = 8x + 53 + -4x Combine like terms: 3 + -2 = 1 1 + 17x = 8x + 53 + -4x Reorder the terms: 1 + 17x = 53 + 8x + -4x Combine like terms: 8x + -4x = 4x 1 + 17x = 53 + 4x Solving 1 + 17x = 53 + 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. 1 + 17x + -4x = 53 + 4x + -4x Combine like terms: 17x + -4x = 13x 1 + 13x = 53 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 13x = 53 + 0 1 + 13x = 53 Add '-1' to each side of the equation. 1 + -1 + 13x = 53 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 53 + -1 13x = 53 + -1 Combine like terms: 53 + -1 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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