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Simplifying 2(2x + 1) + 3(x + -6) = 2(x + 2) Reorder the terms: 2(1 + 2x) + 3(x + -6) = 2(x + 2) (1 * 2 + 2x * 2) + 3(x + -6) = 2(x + 2) (2 + 4x) + 3(x + -6) = 2(x + 2) Reorder the terms: 2 + 4x + 3(-6 + x) = 2(x + 2) 2 + 4x + (-6 * 3 + x * 3) = 2(x + 2) 2 + 4x + (-18 + 3x) = 2(x + 2) Reorder the terms: 2 + -18 + 4x + 3x = 2(x + 2) Combine like terms: 2 + -18 = -16 -16 + 4x + 3x = 2(x + 2) Combine like terms: 4x + 3x = 7x -16 + 7x = 2(x + 2) Reorder the terms: -16 + 7x = 2(2 + x) -16 + 7x = (2 * 2 + x * 2) -16 + 7x = (4 + 2x) Solving -16 + 7x = 4 + 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. -16 + 7x + -2x = 4 + 2x + -2x Combine like terms: 7x + -2x = 5x -16 + 5x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 5x = 4 + 0 -16 + 5x = 4 Add '16' to each side of the equation. -16 + 16 + 5x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 5x = 4 + 16 5x = 4 + 16 Combine like terms: 4 + 16 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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