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Simplifying 9x + 6 = 2(1 + 5x) + 8 Reorder the terms: 6 + 9x = 2(1 + 5x) + 8 6 + 9x = (1 * 2 + 5x * 2) + 8 6 + 9x = (2 + 10x) + 8 Reorder the terms: 6 + 9x = 2 + 8 + 10x Combine like terms: 2 + 8 = 10 6 + 9x = 10 + 10x Solving 6 + 9x = 10 + 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. 6 + 9x + -10x = 10 + 10x + -10x Combine like terms: 9x + -10x = -1x 6 + -1x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -1x = 10 + 0 6 + -1x = 10 Add '-6' to each side of the equation. 6 + -6 + -1x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 10 + -6 -1x = 10 + -6 Combine like terms: 10 + -6 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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