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Simplifying 289 = 2x + 7(-3x + 25) Reorder the terms: 289 = 2x + 7(25 + -3x) 289 = 2x + (25 * 7 + -3x * 7) 289 = 2x + (175 + -21x) Reorder the terms: 289 = 175 + 2x + -21x Combine like terms: 2x + -21x = -19x 289 = 175 + -19x Solving 289 = 175 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 289 + 19x = 175 + -19x + 19x Combine like terms: -19x + 19x = 0 289 + 19x = 175 + 0 289 + 19x = 175 Add '-289' to each side of the equation. 289 + -289 + 19x = 175 + -289 Combine like terms: 289 + -289 = 0 0 + 19x = 175 + -289 19x = 175 + -289 Combine like terms: 175 + -289 = -114 19x = -114 Divide each side by '19'. x = -6 Simplifying x = -6
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