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Simplifying 3x + 2 = 3 + -5(x + -4) Reorder the terms: 2 + 3x = 3 + -5(x + -4) Reorder the terms: 2 + 3x = 3 + -5(-4 + x) 2 + 3x = 3 + (-4 * -5 + x * -5) 2 + 3x = 3 + (20 + -5x) Combine like terms: 3 + 20 = 23 2 + 3x = 23 + -5x Solving 2 + 3x = 23 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 3x + 5x = 23 + -5x + 5x Combine like terms: 3x + 5x = 8x 2 + 8x = 23 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 8x = 23 + 0 2 + 8x = 23 Add '-2' to each side of the equation. 2 + -2 + 8x = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 23 + -2 8x = 23 + -2 Combine like terms: 23 + -2 = 21 8x = 21 Divide each side by '8'. x = 2.625 Simplifying x = 2.625
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