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Simplifying 3(x + 2) = 2(1 + -2x) + -3 Reorder the terms: 3(2 + x) = 2(1 + -2x) + -3 (2 * 3 + x * 3) = 2(1 + -2x) + -3 (6 + 3x) = 2(1 + -2x) + -3 6 + 3x = (1 * 2 + -2x * 2) + -3 6 + 3x = (2 + -4x) + -3 Reorder the terms: 6 + 3x = 2 + -3 + -4x Combine like terms: 2 + -3 = -1 6 + 3x = -1 + -4x Solving 6 + 3x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + 3x + 4x = -1 + -4x + 4x Combine like terms: 3x + 4x = 7x 6 + 7x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 7x = -1 + 0 6 + 7x = -1 Add '-6' to each side of the equation. 6 + -6 + 7x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -1 + -6 7x = -1 + -6 Combine like terms: -1 + -6 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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