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Simplifying 2 + 5(x + 1) = x + -3(2x + 1) Reorder the terms: 2 + 5(1 + x) = x + -3(2x + 1) 2 + (1 * 5 + x * 5) = x + -3(2x + 1) 2 + (5 + 5x) = x + -3(2x + 1) Combine like terms: 2 + 5 = 7 7 + 5x = x + -3(2x + 1) Reorder the terms: 7 + 5x = x + -3(1 + 2x) 7 + 5x = x + (1 * -3 + 2x * -3) 7 + 5x = x + (-3 + -6x) Reorder the terms: 7 + 5x = -3 + x + -6x Combine like terms: x + -6x = -5x 7 + 5x = -3 + -5x Solving 7 + 5x = -3 + -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. 7 + 5x + 5x = -3 + -5x + 5x Combine like terms: 5x + 5x = 10x 7 + 10x = -3 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 10x = -3 + 0 7 + 10x = -3 Add '-7' to each side of the equation. 7 + -7 + 10x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = -3 + -7 10x = -3 + -7 Combine like terms: -3 + -7 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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