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Simplifying 6(25 + -1x) + 20 = -15x + 242 (25 * 6 + -1x * 6) + 20 = -15x + 242 (150 + -6x) + 20 = -15x + 242 Reorder the terms: 150 + 20 + -6x = -15x + 242 Combine like terms: 150 + 20 = 170 170 + -6x = -15x + 242 Reorder the terms: 170 + -6x = 242 + -15x Solving 170 + -6x = 242 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 170 + -6x + 15x = 242 + -15x + 15x Combine like terms: -6x + 15x = 9x 170 + 9x = 242 + -15x + 15x Combine like terms: -15x + 15x = 0 170 + 9x = 242 + 0 170 + 9x = 242 Add '-170' to each side of the equation. 170 + -170 + 9x = 242 + -170 Combine like terms: 170 + -170 = 0 0 + 9x = 242 + -170 9x = 242 + -170 Combine like terms: 242 + -170 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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