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Simplifying -15 + 2x = 5 + -7(8 + -2x) -15 + 2x = 5 + (8 * -7 + -2x * -7) -15 + 2x = 5 + (-56 + 14x) Combine like terms: 5 + -56 = -51 -15 + 2x = -51 + 14x Solving -15 + 2x = -51 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -15 + 2x + -14x = -51 + 14x + -14x Combine like terms: 2x + -14x = -12x -15 + -12x = -51 + 14x + -14x Combine like terms: 14x + -14x = 0 -15 + -12x = -51 + 0 -15 + -12x = -51 Add '15' to each side of the equation. -15 + 15 + -12x = -51 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = -51 + 15 -12x = -51 + 15 Combine like terms: -51 + 15 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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