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Simplifying 11(x + 4) + -4(x + -4) = 4(x + -1) + 2(x + -4) Reorder the terms: 11(4 + x) + -4(x + -4) = 4(x + -1) + 2(x + -4) (4 * 11 + x * 11) + -4(x + -4) = 4(x + -1) + 2(x + -4) (44 + 11x) + -4(x + -4) = 4(x + -1) + 2(x + -4) Reorder the terms: 44 + 11x + -4(-4 + x) = 4(x + -1) + 2(x + -4) 44 + 11x + (-4 * -4 + x * -4) = 4(x + -1) + 2(x + -4) 44 + 11x + (16 + -4x) = 4(x + -1) + 2(x + -4) Reorder the terms: 44 + 16 + 11x + -4x = 4(x + -1) + 2(x + -4) Combine like terms: 44 + 16 = 60 60 + 11x + -4x = 4(x + -1) + 2(x + -4) Combine like terms: 11x + -4x = 7x 60 + 7x = 4(x + -1) + 2(x + -4) Reorder the terms: 60 + 7x = 4(-1 + x) + 2(x + -4) 60 + 7x = (-1 * 4 + x * 4) + 2(x + -4) 60 + 7x = (-4 + 4x) + 2(x + -4) Reorder the terms: 60 + 7x = -4 + 4x + 2(-4 + x) 60 + 7x = -4 + 4x + (-4 * 2 + x * 2) 60 + 7x = -4 + 4x + (-8 + 2x) Reorder the terms: 60 + 7x = -4 + -8 + 4x + 2x Combine like terms: -4 + -8 = -12 60 + 7x = -12 + 4x + 2x Combine like terms: 4x + 2x = 6x 60 + 7x = -12 + 6x Solving 60 + 7x = -12 + 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. 60 + 7x + -6x = -12 + 6x + -6x Combine like terms: 7x + -6x = 1x 60 + 1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 60 + 1x = -12 + 0 60 + 1x = -12 Add '-60' to each side of the equation. 60 + -60 + 1x = -12 + -60 Combine like terms: 60 + -60 = 0 0 + 1x = -12 + -60 1x = -12 + -60 Combine like terms: -12 + -60 = -72 1x = -72 Divide each side by '1'. x = -72 Simplifying x = -72
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