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Simplifying 8 + -3[2x + 6] = 2[4x + -5] Reorder the terms: 8 + -3[6 + 2x] = 2[4x + -5] 8 + [6 * -3 + 2x * -3] = 2[4x + -5] 8 + [-18 + -6x] = 2[4x + -5] Combine like terms: 8 + -18 = -10 -10 + -6x = 2[4x + -5] Reorder the terms: -10 + -6x = 2[-5 + 4x] -10 + -6x = [-5 * 2 + 4x * 2] -10 + -6x = [-10 + 8x] Add '10' to each side of the equation. -10 + 10 + -6x = -10 + 10 + 8x Combine like terms: -10 + 10 = 0 0 + -6x = -10 + 10 + 8x -6x = -10 + 10 + 8x Combine like terms: -10 + 10 = 0 -6x = 0 + 8x -6x = 8x Solving -6x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6x + -8x = 8x + -8x Combine like terms: -6x + -8x = -14x -14x = 8x + -8x Combine like terms: 8x + -8x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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