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Simplifying 3x + 2 = 10 + -5(x + -1) Reorder the terms: 2 + 3x = 10 + -5(x + -1) Reorder the terms: 2 + 3x = 10 + -5(-1 + x) 2 + 3x = 10 + (-1 * -5 + x * -5) 2 + 3x = 10 + (5 + -5x) Combine like terms: 10 + 5 = 15 2 + 3x = 15 + -5x Solving 2 + 3x = 15 + -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 = 15 + -5x + 5x Combine like terms: 3x + 5x = 8x 2 + 8x = 15 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 8x = 15 + 0 2 + 8x = 15 Add '-2' to each side of the equation. 2 + -2 + 8x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 15 + -2 8x = 15 + -2 Combine like terms: 15 + -2 = 13 8x = 13 Divide each side by '8'. x = 1.625 Simplifying x = 1.625
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