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Simplifying 15 + -3(2 + -4x) + -7x = 11(x + -2) + 1 15 + (2 * -3 + -4x * -3) + -7x = 11(x + -2) + 1 15 + (-6 + 12x) + -7x = 11(x + -2) + 1 Combine like terms: 15 + -6 = 9 9 + 12x + -7x = 11(x + -2) + 1 Combine like terms: 12x + -7x = 5x 9 + 5x = 11(x + -2) + 1 Reorder the terms: 9 + 5x = 11(-2 + x) + 1 9 + 5x = (-2 * 11 + x * 11) + 1 9 + 5x = (-22 + 11x) + 1 Reorder the terms: 9 + 5x = -22 + 1 + 11x Combine like terms: -22 + 1 = -21 9 + 5x = -21 + 11x Solving 9 + 5x = -21 + 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. 9 + 5x + -11x = -21 + 11x + -11x Combine like terms: 5x + -11x = -6x 9 + -6x = -21 + 11x + -11x Combine like terms: 11x + -11x = 0 9 + -6x = -21 + 0 9 + -6x = -21 Add '-9' to each side of the equation. 9 + -9 + -6x = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -21 + -9 -6x = -21 + -9 Combine like terms: -21 + -9 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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