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Simplifying 4(x + 4) + 2 = 9x + 4(x + 2) Reorder the terms: 4(4 + x) + 2 = 9x + 4(x + 2) (4 * 4 + x * 4) + 2 = 9x + 4(x + 2) (16 + 4x) + 2 = 9x + 4(x + 2) Reorder the terms: 16 + 2 + 4x = 9x + 4(x + 2) Combine like terms: 16 + 2 = 18 18 + 4x = 9x + 4(x + 2) Reorder the terms: 18 + 4x = 9x + 4(2 + x) 18 + 4x = 9x + (2 * 4 + x * 4) 18 + 4x = 9x + (8 + 4x) Reorder the terms: 18 + 4x = 8 + 9x + 4x Combine like terms: 9x + 4x = 13x 18 + 4x = 8 + 13x Solving 18 + 4x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 18 + 4x + -13x = 8 + 13x + -13x Combine like terms: 4x + -13x = -9x 18 + -9x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 18 + -9x = 8 + 0 18 + -9x = 8 Add '-18' to each side of the equation. 18 + -18 + -9x = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 8 + -18 -9x = 8 + -18 Combine like terms: 8 + -18 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111
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