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Simplifying -8[x + 2] = 2[x + -13] Reorder the terms: -8[2 + x] = 2[x + -13] [2 * -8 + x * -8] = 2[x + -13] [-16 + -8x] = 2[x + -13] Reorder the terms: -16 + -8x = 2[-13 + x] -16 + -8x = [-13 * 2 + x * 2] -16 + -8x = [-26 + 2x] Solving -16 + -8x = -26 + 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. -16 + -8x + -2x = -26 + 2x + -2x Combine like terms: -8x + -2x = -10x -16 + -10x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -10x = -26 + 0 -16 + -10x = -26 Add '16' to each side of the equation. -16 + 16 + -10x = -26 + 16 Combine like terms: -16 + 16 = 0 0 + -10x = -26 + 16 -10x = -26 + 16 Combine like terms: -26 + 16 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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