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Simplifying 3x + -2[2x + -5(2x + 1)] = 2x Reorder the terms: 3x + -2[2x + -5(1 + 2x)] = 2x 3x + -2[2x + (1 * -5 + 2x * -5)] = 2x 3x + -2[2x + (-5 + -10x)] = 2x Reorder the terms: 3x + -2[-5 + 2x + -10x] = 2x Combine like terms: 2x + -10x = -8x 3x + -2[-5 + -8x] = 2x 3x + [-5 * -2 + -8x * -2] = 2x 3x + [10 + 16x] = 2x Reorder the terms: 10 + 3x + 16x = 2x Combine like terms: 3x + 16x = 19x 10 + 19x = 2x Solving 10 + 19x = 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. 10 + 19x + -2x = 2x + -2x Combine like terms: 19x + -2x = 17x 10 + 17x = 2x + -2x Combine like terms: 2x + -2x = 0 10 + 17x = 0 Add '-10' to each side of the equation. 10 + -10 + 17x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 0 + -10 17x = 0 + -10 Combine like terms: 0 + -10 = -10 17x = -10 Divide each side by '17'. x = -0.5882352941 Simplifying x = -0.5882352941
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