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