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Simplifying -4x + -9 + 8x = 1 + 7x + 11 Reorder the terms: -9 + -4x + 8x = 1 + 7x + 11 Combine like terms: -4x + 8x = 4x -9 + 4x = 1 + 7x + 11 Reorder the terms: -9 + 4x = 1 + 11 + 7x Combine like terms: 1 + 11 = 12 -9 + 4x = 12 + 7x Solving -9 + 4x = 12 + 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 + 4x + -7x = 12 + 7x + -7x Combine like terms: 4x + -7x = -3x -9 + -3x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -3x = 12 + 0 -9 + -3x = 12 Add '9' to each side of the equation. -9 + 9 + -3x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 12 + 9 -3x = 12 + 9 Combine like terms: 12 + 9 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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