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Simplifying 15 + -1(2 + -4x) + -7x = 11(x + -2) 15 + (2 * -1 + -4x * -1) + -7x = 11(x + -2) 15 + (-2 + 4x) + -7x = 11(x + -2) Combine like terms: 15 + -2 = 13 13 + 4x + -7x = 11(x + -2) Combine like terms: 4x + -7x = -3x 13 + -3x = 11(x + -2) Reorder the terms: 13 + -3x = 11(-2 + x) 13 + -3x = (-2 * 11 + x * 11) 13 + -3x = (-22 + 11x) Solving 13 + -3x = -22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 13 + -3x + -11x = -22 + 11x + -11x Combine like terms: -3x + -11x = -14x 13 + -14x = -22 + 11x + -11x Combine like terms: 11x + -11x = 0 13 + -14x = -22 + 0 13 + -14x = -22 Add '-13' to each side of the equation. 13 + -13 + -14x = -22 + -13 Combine like terms: 13 + -13 = 0 0 + -14x = -22 + -13 -14x = -22 + -13 Combine like terms: -22 + -13 = -35 -14x = -35 Divide each side by '-14'. x = 2.5 Simplifying x = 2.5
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