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Simplifying X + (x + 5) + (x + 7) = 2(4x + 8) + 2(2x + 3) Reorder the terms: X + (5 + x) + (x + 7) = 2(4x + 8) + 2(2x + 3) Remove parenthesis around (5 + x) X + 5 + x + (x + 7) = 2(4x + 8) + 2(2x + 3) Reorder the terms: X + 5 + x + (7 + x) = 2(4x + 8) + 2(2x + 3) Remove parenthesis around (7 + x) X + 5 + x + 7 + x = 2(4x + 8) + 2(2x + 3) Reorder the terms: 5 + 7 + X + x + x = 2(4x + 8) + 2(2x + 3) Combine like terms: 5 + 7 = 12 12 + X + x + x = 2(4x + 8) + 2(2x + 3) Combine like terms: x + x = 2x 12 + X + 2x = 2(4x + 8) + 2(2x + 3) Reorder the terms: 12 + X + 2x = 2(8 + 4x) + 2(2x + 3) 12 + X + 2x = (8 * 2 + 4x * 2) + 2(2x + 3) 12 + X + 2x = (16 + 8x) + 2(2x + 3) Reorder the terms: 12 + X + 2x = 16 + 8x + 2(3 + 2x) 12 + X + 2x = 16 + 8x + (3 * 2 + 2x * 2) 12 + X + 2x = 16 + 8x + (6 + 4x) Reorder the terms: 12 + X + 2x = 16 + 6 + 8x + 4x Combine like terms: 16 + 6 = 22 12 + X + 2x = 22 + 8x + 4x Combine like terms: 8x + 4x = 12x 12 + X + 2x = 22 + 12x Solving 12 + X + 2x = 22 + 12x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + X + -12 + 2x = 22 + -12 + 12x Reorder the terms: 12 + -12 + X + 2x = 22 + -12 + 12x Combine like terms: 12 + -12 = 0 0 + X + 2x = 22 + -12 + 12x X + 2x = 22 + -12 + 12x Combine like terms: 22 + -12 = 10 X + 2x = 10 + 12x Add '-2x' to each side of the equation. X + 2x + -2x = 10 + 12x + -2x Combine like terms: 2x + -2x = 0 X + 0 = 10 + 12x + -2x X = 10 + 12x + -2x Combine like terms: 12x + -2x = 10x X = 10 + 10x Simplifying X = 10 + 10x
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