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Simplifying 9x + 1 = 2(x + 4) Reorder the terms: 1 + 9x = 2(x + 4) Reorder the terms: 1 + 9x = 2(4 + x) 1 + 9x = (4 * 2 + x * 2) 1 + 9x = (8 + 2x) Solving 1 + 9x = 8 + 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. 1 + 9x + -2x = 8 + 2x + -2x Combine like terms: 9x + -2x = 7x 1 + 7x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 7x = 8 + 0 1 + 7x = 8 Add '-1' to each side of the equation. 1 + -1 + 7x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 8 + -1 7x = 8 + -1 Combine like terms: 8 + -1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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