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Simplifying 8x + 9 + -3x + -15 = 11x + 21 + -4x Reorder the terms: 9 + -15 + 8x + -3x = 11x + 21 + -4x Combine like terms: 9 + -15 = -6 -6 + 8x + -3x = 11x + 21 + -4x Combine like terms: 8x + -3x = 5x -6 + 5x = 11x + 21 + -4x Reorder the terms: -6 + 5x = 21 + 11x + -4x Combine like terms: 11x + -4x = 7x -6 + 5x = 21 + 7x Solving -6 + 5x = 21 + 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. -6 + 5x + -7x = 21 + 7x + -7x Combine like terms: 5x + -7x = -2x -6 + -2x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -2x = 21 + 0 -6 + -2x = 21 Add '6' to each side of the equation. -6 + 6 + -2x = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 21 + 6 -2x = 21 + 6 Combine like terms: 21 + 6 = 27 -2x = 27 Divide each side by '-2'. x = -13.5 Simplifying x = -13.5
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