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Simplifying 2(x + 4) + x + 1 = 6(2x) Reorder the terms: 2(4 + x) + x + 1 = 6(2x) (4 * 2 + x * 2) + x + 1 = 6(2x) (8 + 2x) + x + 1 = 6(2x) Reorder the terms: 8 + 1 + 2x + x = 6(2x) Combine like terms: 8 + 1 = 9 9 + 2x + x = 6(2x) Combine like terms: 2x + x = 3x 9 + 3x = 6(2x) Remove parenthesis around (2x) 9 + 3x = 6 * 2x Multiply 6 * 2 9 + 3x = 12x Solving 9 + 3x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + 3x + -12x = 12x + -12x Combine like terms: 3x + -12x = -9x 9 + -9x = 12x + -12x Combine like terms: 12x + -12x = 0 9 + -9x = 0 Add '-9' to each side of the equation. 9 + -9 + -9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 0 + -9 -9x = 0 + -9 Combine like terms: 0 + -9 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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