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Simplifying 11x + 13(1 + -2x) = 4 + -11(x + 1) 11x + (1 * 13 + -2x * 13) = 4 + -11(x + 1) 11x + (13 + -26x) = 4 + -11(x + 1) Reorder the terms: 13 + 11x + -26x = 4 + -11(x + 1) Combine like terms: 11x + -26x = -15x 13 + -15x = 4 + -11(x + 1) Reorder the terms: 13 + -15x = 4 + -11(1 + x) 13 + -15x = 4 + (1 * -11 + x * -11) 13 + -15x = 4 + (-11 + -11x) Combine like terms: 4 + -11 = -7 13 + -15x = -7 + -11x Solving 13 + -15x = -7 + -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 + -15x + 11x = -7 + -11x + 11x Combine like terms: -15x + 11x = -4x 13 + -4x = -7 + -11x + 11x Combine like terms: -11x + 11x = 0 13 + -4x = -7 + 0 13 + -4x = -7 Add '-13' to each side of the equation. 13 + -13 + -4x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = -7 + -13 -4x = -7 + -13 Combine like terms: -7 + -13 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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