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Simplifying 3x + 4 + 5x + 6 = -6 + -8x Reorder the terms: 4 + 6 + 3x + 5x = -6 + -8x Combine like terms: 4 + 6 = 10 10 + 3x + 5x = -6 + -8x Combine like terms: 3x + 5x = 8x 10 + 8x = -6 + -8x Solving 10 + 8x = -6 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 8x + 8x = -6 + -8x + 8x Combine like terms: 8x + 8x = 16x 10 + 16x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 16x = -6 + 0 10 + 16x = -6 Add '-10' to each side of the equation. 10 + -10 + 16x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 16x = -6 + -10 16x = -6 + -10 Combine like terms: -6 + -10 = -16 16x = -16 Divide each side by '16'. x = -1 Simplifying x = -1
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