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Simplifying 6x + 2x + 4 = 3x + 3 + -5x + -9 Reorder the terms: 4 + 6x + 2x = 3x + 3 + -5x + -9 Combine like terms: 6x + 2x = 8x 4 + 8x = 3x + 3 + -5x + -9 Reorder the terms: 4 + 8x = 3 + -9 + 3x + -5x Combine like terms: 3 + -9 = -6 4 + 8x = -6 + 3x + -5x Combine like terms: 3x + -5x = -2x 4 + 8x = -6 + -2x Solving 4 + 8x = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 8x + 2x = -6 + -2x + 2x Combine like terms: 8x + 2x = 10x 4 + 10x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 10x = -6 + 0 4 + 10x = -6 Add '-4' to each side of the equation. 4 + -4 + 10x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = -6 + -4 10x = -6 + -4 Combine like terms: -6 + -4 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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