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Simplifying -16 + 6x = -8x + -6(3x + -8) Reorder the terms: -16 + 6x = -8x + -6(-8 + 3x) -16 + 6x = -8x + (-8 * -6 + 3x * -6) -16 + 6x = -8x + (48 + -18x) Reorder the terms: -16 + 6x = 48 + -8x + -18x Combine like terms: -8x + -18x = -26x -16 + 6x = 48 + -26x Solving -16 + 6x = 48 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -16 + 6x + 26x = 48 + -26x + 26x Combine like terms: 6x + 26x = 32x -16 + 32x = 48 + -26x + 26x Combine like terms: -26x + 26x = 0 -16 + 32x = 48 + 0 -16 + 32x = 48 Add '16' to each side of the equation. -16 + 16 + 32x = 48 + 16 Combine like terms: -16 + 16 = 0 0 + 32x = 48 + 16 32x = 48 + 16 Combine like terms: 48 + 16 = 64 32x = 64 Divide each side by '32'. x = 2 Simplifying x = 2
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