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Simplifying 2(2x + 3) + 5(x + 1) = 8 + -3(x + 1) Reorder the terms: 2(3 + 2x) + 5(x + 1) = 8 + -3(x + 1) (3 * 2 + 2x * 2) + 5(x + 1) = 8 + -3(x + 1) (6 + 4x) + 5(x + 1) = 8 + -3(x + 1) Reorder the terms: 6 + 4x + 5(1 + x) = 8 + -3(x + 1) 6 + 4x + (1 * 5 + x * 5) = 8 + -3(x + 1) 6 + 4x + (5 + 5x) = 8 + -3(x + 1) Reorder the terms: 6 + 5 + 4x + 5x = 8 + -3(x + 1) Combine like terms: 6 + 5 = 11 11 + 4x + 5x = 8 + -3(x + 1) Combine like terms: 4x + 5x = 9x 11 + 9x = 8 + -3(x + 1) Reorder the terms: 11 + 9x = 8 + -3(1 + x) 11 + 9x = 8 + (1 * -3 + x * -3) 11 + 9x = 8 + (-3 + -3x) Combine like terms: 8 + -3 = 5 11 + 9x = 5 + -3x Solving 11 + 9x = 5 + -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. 11 + 9x + 3x = 5 + -3x + 3x Combine like terms: 9x + 3x = 12x 11 + 12x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 12x = 5 + 0 11 + 12x = 5 Add '-11' to each side of the equation. 11 + -11 + 12x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 12x = 5 + -11 12x = 5 + -11 Combine like terms: 5 + -11 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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