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Simplifying -3(2x + -1) = -2[5 + 4(x + 3)] Reorder the terms: -3(-1 + 2x) = -2[5 + 4(x + 3)] (-1 * -3 + 2x * -3) = -2[5 + 4(x + 3)] (3 + -6x) = -2[5 + 4(x + 3)] Reorder the terms: 3 + -6x = -2[5 + 4(3 + x)] 3 + -6x = -2[5 + (3 * 4 + x * 4)] 3 + -6x = -2[5 + (12 + 4x)] Combine like terms: 5 + 12 = 17 3 + -6x = -2[17 + 4x] 3 + -6x = [17 * -2 + 4x * -2] 3 + -6x = [-34 + -8x] Solving 3 + -6x = -34 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + -6x + 8x = -34 + -8x + 8x Combine like terms: -6x + 8x = 2x 3 + 2x = -34 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 2x = -34 + 0 3 + 2x = -34 Add '-3' to each side of the equation. 3 + -3 + 2x = -34 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -34 + -3 2x = -34 + -3 Combine like terms: -34 + -3 = -37 2x = -37 Divide each side by '2'. x = -18.5 Simplifying x = -18.5
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