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Simplifying 2[4x + -3] + -8 = 4 + 2x Reorder the terms: 2[-3 + 4x] + -8 = 4 + 2x [-3 * 2 + 4x * 2] + -8 = 4 + 2x [-6 + 8x] + -8 = 4 + 2x Reorder the terms: -6 + -8 + 8x = 4 + 2x Combine like terms: -6 + -8 = -14 -14 + 8x = 4 + 2x Solving -14 + 8x = 4 + 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 + 8x + -2x = 4 + 2x + -2x Combine like terms: 8x + -2x = 6x -14 + 6x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 6x = 4 + 0 -14 + 6x = 4 Add '14' to each side of the equation. -14 + 14 + 6x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 4 + 14 6x = 4 + 14 Combine like terms: 4 + 14 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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