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Simplifying 2(16 + -4x) * 8 = 6(x + 2) Reorder the terms for easier multiplication: 2 * 8(16 + -4x) = 6(x + 2) Multiply 2 * 8 16(16 + -4x) = 6(x + 2) (16 * 16 + -4x * 16) = 6(x + 2) (256 + -64x) = 6(x + 2) Reorder the terms: 256 + -64x = 6(2 + x) 256 + -64x = (2 * 6 + x * 6) 256 + -64x = (12 + 6x) Solving 256 + -64x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 256 + -64x + -6x = 12 + 6x + -6x Combine like terms: -64x + -6x = -70x 256 + -70x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 256 + -70x = 12 + 0 256 + -70x = 12 Add '-256' to each side of the equation. 256 + -256 + -70x = 12 + -256 Combine like terms: 256 + -256 = 0 0 + -70x = 12 + -256 -70x = 12 + -256 Combine like terms: 12 + -256 = -244 -70x = -244 Divide each side by '-70'. x = 3.485714286 Simplifying x = 3.485714286
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