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Simplifying 5x + (7x + 2) = 3(2x + 4) + -1(2x + 2) Reorder the terms: 5x + (2 + 7x) = 3(2x + 4) + -1(2x + 2) Remove parenthesis around (2 + 7x) 5x + 2 + 7x = 3(2x + 4) + -1(2x + 2) Reorder the terms: 2 + 5x + 7x = 3(2x + 4) + -1(2x + 2) Combine like terms: 5x + 7x = 12x 2 + 12x = 3(2x + 4) + -1(2x + 2) Reorder the terms: 2 + 12x = 3(4 + 2x) + -1(2x + 2) 2 + 12x = (4 * 3 + 2x * 3) + -1(2x + 2) 2 + 12x = (12 + 6x) + -1(2x + 2) Reorder the terms: 2 + 12x = 12 + 6x + -1(2 + 2x) 2 + 12x = 12 + 6x + (2 * -1 + 2x * -1) 2 + 12x = 12 + 6x + (-2 + -2x) Reorder the terms: 2 + 12x = 12 + -2 + 6x + -2x Combine like terms: 12 + -2 = 10 2 + 12x = 10 + 6x + -2x Combine like terms: 6x + -2x = 4x 2 + 12x = 10 + 4x Solving 2 + 12x = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 12x + -4x = 10 + 4x + -4x Combine like terms: 12x + -4x = 8x 2 + 8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 8x = 10 + 0 2 + 8x = 10 Add '-2' to each side of the equation. 2 + -2 + 8x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 10 + -2 8x = 10 + -2 Combine like terms: 10 + -2 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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