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Simplifying (2x + 7) + (2x + 6) + (2x) = (2x) + (2x) + (3x + 1) Reorder the terms: (7 + 2x) + (2x + 6) + (2x) = (2x) + (2x) + (3x + 1) Remove parenthesis around (7 + 2x) 7 + 2x + (2x + 6) + (2x) = (2x) + (2x) + (3x + 1) Reorder the terms: 7 + 2x + (6 + 2x) + (2x) = (2x) + (2x) + (3x + 1) Remove parenthesis around (6 + 2x) 7 + 2x + 6 + 2x + (2x) = (2x) + (2x) + (3x + 1) Reorder the terms: 7 + 6 + 2x + 2x + (2x) = (2x) + (2x) + (3x + 1) Combine like terms: 7 + 6 = 13 13 + 2x + 2x + (2x) = (2x) + (2x) + (3x + 1) Combine like terms: 2x + 2x = 4x 13 + 4x + (2x) = (2x) + (2x) + (3x + 1) Combine like terms: 4x + (2x) = 6x 13 + 6x = (2x) + (2x) + (3x + 1) Reorder the terms: 13 + 6x = (2x) + (2x) + (1 + 3x) Remove parenthesis around (1 + 3x) 13 + 6x = (2x) + (2x) + 1 + 3x Reorder the terms: 13 + 6x = 1 + (2x) + (2x) + 3x Combine like terms: (2x) + (2x) = 4x 13 + 6x = 1 + 4x + 3x Combine like terms: 4x + 3x = 7x 13 + 6x = 1 + 7x Solving 13 + 6x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 6x + -7x = 1 + 7x + -7x Combine like terms: 6x + -7x = -1x 13 + -1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + -1x = 1 + 0 13 + -1x = 1 Add '-13' to each side of the equation. 13 + -13 + -1x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 1 + -13 -1x = 1 + -13 Combine like terms: 1 + -13 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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