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Simplifying 3(x + 7) + 2 = 2x + 2(3x + -1) Reorder the terms: 3(7 + x) + 2 = 2x + 2(3x + -1) (7 * 3 + x * 3) + 2 = 2x + 2(3x + -1) (21 + 3x) + 2 = 2x + 2(3x + -1) Reorder the terms: 21 + 2 + 3x = 2x + 2(3x + -1) Combine like terms: 21 + 2 = 23 23 + 3x = 2x + 2(3x + -1) Reorder the terms: 23 + 3x = 2x + 2(-1 + 3x) 23 + 3x = 2x + (-1 * 2 + 3x * 2) 23 + 3x = 2x + (-2 + 6x) Reorder the terms: 23 + 3x = -2 + 2x + 6x Combine like terms: 2x + 6x = 8x 23 + 3x = -2 + 8x Solving 23 + 3x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 23 + 3x + -8x = -2 + 8x + -8x Combine like terms: 3x + -8x = -5x 23 + -5x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + -5x = -2 + 0 23 + -5x = -2 Add '-23' to each side of the equation. 23 + -23 + -5x = -2 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = -2 + -23 -5x = -2 + -23 Combine like terms: -2 + -23 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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