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Simplifying 8(4x + -6) + 2 = 16x + -16 Reorder the terms: 8(-6 + 4x) + 2 = 16x + -16 (-6 * 8 + 4x * 8) + 2 = 16x + -16 (-48 + 32x) + 2 = 16x + -16 Reorder the terms: -48 + 2 + 32x = 16x + -16 Combine like terms: -48 + 2 = -46 -46 + 32x = 16x + -16 Reorder the terms: -46 + 32x = -16 + 16x Solving -46 + 32x = -16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -46 + 32x + -16x = -16 + 16x + -16x Combine like terms: 32x + -16x = 16x -46 + 16x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 -46 + 16x = -16 + 0 -46 + 16x = -16 Add '46' to each side of the equation. -46 + 46 + 16x = -16 + 46 Combine like terms: -46 + 46 = 0 0 + 16x = -16 + 46 16x = -16 + 46 Combine like terms: -16 + 46 = 30 16x = 30 Divide each side by '16'. x = 1.875 Simplifying x = 1.875
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