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Simplifying 11(x + 2) + 5 = -4(x + -3) Reorder the terms: 11(2 + x) + 5 = -4(x + -3) (2 * 11 + x * 11) + 5 = -4(x + -3) (22 + 11x) + 5 = -4(x + -3) Reorder the terms: 22 + 5 + 11x = -4(x + -3) Combine like terms: 22 + 5 = 27 27 + 11x = -4(x + -3) Reorder the terms: 27 + 11x = -4(-3 + x) 27 + 11x = (-3 * -4 + x * -4) 27 + 11x = (12 + -4x) Solving 27 + 11x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 27 + 11x + 4x = 12 + -4x + 4x Combine like terms: 11x + 4x = 15x 27 + 15x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 27 + 15x = 12 + 0 27 + 15x = 12 Add '-27' to each side of the equation. 27 + -27 + 15x = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 15x = 12 + -27 15x = 12 + -27 Combine like terms: 12 + -27 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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