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Simplifying 250 = 6x + 7(-4x + -2) Reorder the terms: 250 = 6x + 7(-2 + -4x) 250 = 6x + (-2 * 7 + -4x * 7) 250 = 6x + (-14 + -28x) Reorder the terms: 250 = -14 + 6x + -28x Combine like terms: 6x + -28x = -22x 250 = -14 + -22x Solving 250 = -14 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 250 + 22x = -14 + -22x + 22x Combine like terms: -22x + 22x = 0 250 + 22x = -14 + 0 250 + 22x = -14 Add '-250' to each side of the equation. 250 + -250 + 22x = -14 + -250 Combine like terms: 250 + -250 = 0 0 + 22x = -14 + -250 22x = -14 + -250 Combine like terms: -14 + -250 = -264 22x = -264 Divide each side by '22'. x = -12 Simplifying x = -12
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