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Simplifying 4x + -21 + 7x + -3 = 9x + -11 + 3x Reorder the terms: -21 + -3 + 4x + 7x = 9x + -11 + 3x Combine like terms: -21 + -3 = -24 -24 + 4x + 7x = 9x + -11 + 3x Combine like terms: 4x + 7x = 11x -24 + 11x = 9x + -11 + 3x Reorder the terms: -24 + 11x = -11 + 9x + 3x Combine like terms: 9x + 3x = 12x -24 + 11x = -11 + 12x Solving -24 + 11x = -11 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 11x + -12x = -11 + 12x + -12x Combine like terms: 11x + -12x = -1x -24 + -1x = -11 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -1x = -11 + 0 -24 + -1x = -11 Add '24' to each side of the equation. -24 + 24 + -1x = -11 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -11 + 24 -1x = -11 + 24 Combine like terms: -11 + 24 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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