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