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Simplifying 2 + -1(x + 6) + 3 = -11x + 4(x + 4) Reorder the terms: 2 + -1(6 + x) + 3 = -11x + 4(x + 4) 2 + (6 * -1 + x * -1) + 3 = -11x + 4(x + 4) 2 + (-6 + -1x) + 3 = -11x + 4(x + 4) Reorder the terms: 2 + -6 + 3 + -1x = -11x + 4(x + 4) Combine like terms: 2 + -6 = -4 -4 + 3 + -1x = -11x + 4(x + 4) Combine like terms: -4 + 3 = -1 -1 + -1x = -11x + 4(x + 4) Reorder the terms: -1 + -1x = -11x + 4(4 + x) -1 + -1x = -11x + (4 * 4 + x * 4) -1 + -1x = -11x + (16 + 4x) Reorder the terms: -1 + -1x = 16 + -11x + 4x Combine like terms: -11x + 4x = -7x -1 + -1x = 16 + -7x Solving -1 + -1x = 16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1 + -1x + 7x = 16 + -7x + 7x Combine like terms: -1x + 7x = 6x -1 + 6x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 6x = 16 + 0 -1 + 6x = 16 Add '1' to each side of the equation. -1 + 1 + 6x = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = 16 + 1 6x = 16 + 1 Combine like terms: 16 + 1 = 17 6x = 17 Divide each side by '6'. x = 2.833333333 Simplifying x = 2.833333333
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