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Simplifying 3x + 5x + 5 = 11 + 10x + 6 Reorder the terms: 5 + 3x + 5x = 11 + 10x + 6 Combine like terms: 3x + 5x = 8x 5 + 8x = 11 + 10x + 6 Reorder the terms: 5 + 8x = 11 + 6 + 10x Combine like terms: 11 + 6 = 17 5 + 8x = 17 + 10x Solving 5 + 8x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5 + 8x + -10x = 17 + 10x + -10x Combine like terms: 8x + -10x = -2x 5 + -2x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -2x = 17 + 0 5 + -2x = 17 Add '-5' to each side of the equation. 5 + -5 + -2x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 17 + -5 -2x = 17 + -5 Combine like terms: 17 + -5 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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