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Simplifying 2(2x + 3) + -2x + 1 = -3(x + 1) Reorder the terms: 2(3 + 2x) + -2x + 1 = -3(x + 1) (3 * 2 + 2x * 2) + -2x + 1 = -3(x + 1) (6 + 4x) + -2x + 1 = -3(x + 1) Reorder the terms: 6 + 1 + 4x + -2x = -3(x + 1) Combine like terms: 6 + 1 = 7 7 + 4x + -2x = -3(x + 1) Combine like terms: 4x + -2x = 2x 7 + 2x = -3(x + 1) Reorder the terms: 7 + 2x = -3(1 + x) 7 + 2x = (1 * -3 + x * -3) 7 + 2x = (-3 + -3x) Solving 7 + 2x = -3 + -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. 7 + 2x + 3x = -3 + -3x + 3x Combine like terms: 2x + 3x = 5x 7 + 5x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 5x = -3 + 0 7 + 5x = -3 Add '-7' to each side of the equation. 7 + -7 + 5x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -3 + -7 5x = -3 + -7 Combine like terms: -3 + -7 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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