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Simplifying 13x + -15 + -4x + 9 = 3x + -16 + 2x + -14 Reorder the terms: -15 + 9 + 13x + -4x = 3x + -16 + 2x + -14 Combine like terms: -15 + 9 = -6 -6 + 13x + -4x = 3x + -16 + 2x + -14 Combine like terms: 13x + -4x = 9x -6 + 9x = 3x + -16 + 2x + -14 Reorder the terms: -6 + 9x = -16 + -14 + 3x + 2x Combine like terms: -16 + -14 = -30 -6 + 9x = -30 + 3x + 2x Combine like terms: 3x + 2x = 5x -6 + 9x = -30 + 5x Solving -6 + 9x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 9x + -5x = -30 + 5x + -5x Combine like terms: 9x + -5x = 4x -6 + 4x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 4x = -30 + 0 -6 + 4x = -30 Add '6' to each side of the equation. -6 + 6 + 4x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -30 + 6 4x = -30 + 6 Combine like terms: -30 + 6 = -24 4x = -24 Divide each side by '4'. x = -6 Simplifying x = -6
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