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Simplifying -2[3x + 8] = -7[x + -6] + -16 Reorder the terms: -2[8 + 3x] = -7[x + -6] + -16 [8 * -2 + 3x * -2] = -7[x + -6] + -16 [-16 + -6x] = -7[x + -6] + -16 Reorder the terms: -16 + -6x = -7[-6 + x] + -16 -16 + -6x = [-6 * -7 + x * -7] + -16 -16 + -6x = [42 + -7x] + -16 Reorder the terms: -16 + -6x = 42 + -16 + -7x Combine like terms: 42 + -16 = 26 -16 + -6x = 26 + -7x Solving -16 + -6x = 26 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + -6x + 7x = 26 + -7x + 7x Combine like terms: -6x + 7x = 1x -16 + 1x = 26 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 1x = 26 + 0 -16 + 1x = 26 Add '16' to each side of the equation. -16 + 16 + 1x = 26 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 26 + 16 1x = 26 + 16 Combine like terms: 26 + 16 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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