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Simplifying 3x + 2[1 + -3(x + -2)] = 2x Reorder the terms: 3x + 2[1 + -3(-2 + x)] = 2x 3x + 2[1 + (-2 * -3 + x * -3)] = 2x 3x + 2[1 + (6 + -3x)] = 2x Combine like terms: 1 + 6 = 7 3x + 2[7 + -3x] = 2x 3x + [7 * 2 + -3x * 2] = 2x 3x + [14 + -6x] = 2x Reorder the terms: 14 + 3x + -6x = 2x Combine like terms: 3x + -6x = -3x 14 + -3x = 2x Solving 14 + -3x = 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. 14 + -3x + -2x = 2x + -2x Combine like terms: -3x + -2x = -5x 14 + -5x = 2x + -2x Combine like terms: 2x + -2x = 0 14 + -5x = 0 Add '-14' to each side of the equation. 14 + -14 + -5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 0 + -14 -5x = 0 + -14 Combine like terms: 0 + -14 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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