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Simplifying 11(x + 2) + -4(x + -4) = 3(x + -1) + 3(x + -1) Reorder the terms: 11(2 + x) + -4(x + -4) = 3(x + -1) + 3(x + -1) (2 * 11 + x * 11) + -4(x + -4) = 3(x + -1) + 3(x + -1) (22 + 11x) + -4(x + -4) = 3(x + -1) + 3(x + -1) Reorder the terms: 22 + 11x + -4(-4 + x) = 3(x + -1) + 3(x + -1) 22 + 11x + (-4 * -4 + x * -4) = 3(x + -1) + 3(x + -1) 22 + 11x + (16 + -4x) = 3(x + -1) + 3(x + -1) Reorder the terms: 22 + 16 + 11x + -4x = 3(x + -1) + 3(x + -1) Combine like terms: 22 + 16 = 38 38 + 11x + -4x = 3(x + -1) + 3(x + -1) Combine like terms: 11x + -4x = 7x 38 + 7x = 3(x + -1) + 3(x + -1) Reorder the terms: 38 + 7x = 3(-1 + x) + 3(x + -1) 38 + 7x = (-1 * 3 + x * 3) + 3(x + -1) 38 + 7x = (-3 + 3x) + 3(x + -1) Reorder the terms: 38 + 7x = -3 + 3x + 3(-1 + x) 38 + 7x = -3 + 3x + (-1 * 3 + x * 3) 38 + 7x = -3 + 3x + (-3 + 3x) Reorder the terms: 38 + 7x = -3 + -3 + 3x + 3x Combine like terms: -3 + -3 = -6 38 + 7x = -6 + 3x + 3x Combine like terms: 3x + 3x = 6x 38 + 7x = -6 + 6x Solving 38 + 7x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 38 + 7x + -6x = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x 38 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + 1x = -6 + 0 38 + 1x = -6 Add '-38' to each side of the equation. 38 + -38 + 1x = -6 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = -6 + -38 1x = -6 + -38 Combine like terms: -6 + -38 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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