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Simplifying 5x + -1[2x + -3(x + -2)] = 3x + 12 Reorder the terms: 5x + -1[2x + -3(-2 + x)] = 3x + 12 5x + -1[2x + (-2 * -3 + x * -3)] = 3x + 12 5x + -1[2x + (6 + -3x)] = 3x + 12 Reorder the terms: 5x + -1[6 + 2x + -3x] = 3x + 12 Combine like terms: 2x + -3x = -1x 5x + -1[6 + -1x] = 3x + 12 5x + [6 * -1 + -1x * -1] = 3x + 12 5x + [-6 + 1x] = 3x + 12 Reorder the terms: -6 + 5x + 1x = 3x + 12 Combine like terms: 5x + 1x = 6x -6 + 6x = 3x + 12 Reorder the terms: -6 + 6x = 12 + 3x Solving -6 + 6x = 12 + 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. -6 + 6x + -3x = 12 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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