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