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Simplifying -2(x + 6) + 3 = -11x + 4(x + 4) Reorder the terms: -2(6 + x) + 3 = -11x + 4(x + 4) (6 * -2 + x * -2) + 3 = -11x + 4(x + 4) (-12 + -2x) + 3 = -11x + 4(x + 4) Reorder the terms: -12 + 3 + -2x = -11x + 4(x + 4) Combine like terms: -12 + 3 = -9 -9 + -2x = -11x + 4(x + 4) Reorder the terms: -9 + -2x = -11x + 4(4 + x) -9 + -2x = -11x + (4 * 4 + x * 4) -9 + -2x = -11x + (16 + 4x) Reorder the terms: -9 + -2x = 16 + -11x + 4x Combine like terms: -11x + 4x = -7x -9 + -2x = 16 + -7x Solving -9 + -2x = 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. -9 + -2x + 7x = 16 + -7x + 7x Combine like terms: -2x + 7x = 5x -9 + 5x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 -9 + 5x = 16 + 0 -9 + 5x = 16 Add '9' to each side of the equation. -9 + 9 + 5x = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 16 + 9 5x = 16 + 9 Combine like terms: 16 + 9 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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