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Simplifying 3x + -15 + 4x + -9 = 2x + -12 + 11x Reorder the terms: -15 + -9 + 3x + 4x = 2x + -12 + 11x Combine like terms: -15 + -9 = -24 -24 + 3x + 4x = 2x + -12 + 11x Combine like terms: 3x + 4x = 7x -24 + 7x = 2x + -12 + 11x Reorder the terms: -24 + 7x = -12 + 2x + 11x Combine like terms: 2x + 11x = 13x -24 + 7x = -12 + 13x Solving -24 + 7x = -12 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -24 + 7x + -13x = -12 + 13x + -13x Combine like terms: 7x + -13x = -6x -24 + -6x = -12 + 13x + -13x Combine like terms: 13x + -13x = 0 -24 + -6x = -12 + 0 -24 + -6x = -12 Add '24' to each side of the equation. -24 + 24 + -6x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -6x = -12 + 24 -6x = -12 + 24 Combine like terms: -12 + 24 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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