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Simplifying -3[2x + 4 + -2(x + 1)] = 2x + 2 Reorder the terms: -3[2x + 4 + -2(1 + x)] = 2x + 2 -3[2x + 4 + (1 * -2 + x * -2)] = 2x + 2 -3[2x + 4 + (-2 + -2x)] = 2x + 2 Reorder the terms: -3[4 + -2 + 2x + -2x] = 2x + 2 Combine like terms: 4 + -2 = 2 -3[2 + 2x + -2x] = 2x + 2 Combine like terms: 2x + -2x = 0 -3[2 + 0] = 2x + 2 -3[2] = 2x + 2 Multiply -3 * 2 -6 = 2x + 2 Reorder the terms: -6 = 2 + 2x Solving -6 = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -2x = 2 + 0 -6 + -2x = 2 Add '6' to each side of the equation. -6 + 6 + -2x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 2 + 6 -2x = 2 + 6 Combine like terms: 2 + 6 = 8 -2x = 8 Divide each side by '-2'. x = -4 Simplifying x = -4
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