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Simplifying 2x + 8(x + 1) + 2 = 10 + -9x Reorder the terms: 2x + 8(1 + x) + 2 = 10 + -9x 2x + (1 * 8 + x * 8) + 2 = 10 + -9x 2x + (8 + 8x) + 2 = 10 + -9x Reorder the terms: 8 + 2 + 2x + 8x = 10 + -9x Combine like terms: 8 + 2 = 10 10 + 2x + 8x = 10 + -9x Combine like terms: 2x + 8x = 10x 10 + 10x = 10 + -9x Add '-10' to each side of the equation. 10 + -10 + 10x = 10 + -10 + -9x Combine like terms: 10 + -10 = 0 0 + 10x = 10 + -10 + -9x 10x = 10 + -10 + -9x Combine like terms: 10 + -10 = 0 10x = 0 + -9x 10x = -9x Solving 10x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 10x + 9x = -9x + 9x Combine like terms: 10x + 9x = 19x 19x = -9x + 9x Combine like terms: -9x + 9x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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