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Simplifying 3(x + 7) + x = 2(x + 2) + -2 Reorder the terms: 3(7 + x) + x = 2(x + 2) + -2 (7 * 3 + x * 3) + x = 2(x + 2) + -2 (21 + 3x) + x = 2(x + 2) + -2 Combine like terms: 3x + x = 4x 21 + 4x = 2(x + 2) + -2 Reorder the terms: 21 + 4x = 2(2 + x) + -2 21 + 4x = (2 * 2 + x * 2) + -2 21 + 4x = (4 + 2x) + -2 Reorder the terms: 21 + 4x = 4 + -2 + 2x Combine like terms: 4 + -2 = 2 21 + 4x = 2 + 2x Solving 21 + 4x = 2 + 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. 21 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 21 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 2x = 2 + 0 21 + 2x = 2 Add '-21' to each side of the equation. 21 + -21 + 2x = 2 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 2 + -21 2x = 2 + -21 Combine like terms: 2 + -21 = -19 2x = -19 Divide each side by '2'. x = -9.5 Simplifying x = -9.5
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