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Simplifying -4(2x + 8) + 3(2x + -6) = 16 Reorder the terms: -4(8 + 2x) + 3(2x + -6) = 16 (8 * -4 + 2x * -4) + 3(2x + -6) = 16 (-32 + -8x) + 3(2x + -6) = 16 Reorder the terms: -32 + -8x + 3(-6 + 2x) = 16 -32 + -8x + (-6 * 3 + 2x * 3) = 16 -32 + -8x + (-18 + 6x) = 16 Reorder the terms: -32 + -18 + -8x + 6x = 16 Combine like terms: -32 + -18 = -50 -50 + -8x + 6x = 16 Combine like terms: -8x + 6x = -2x -50 + -2x = 16 Solving -50 + -2x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -2x = 16 + 50 Combine like terms: -50 + 50 = 0 0 + -2x = 16 + 50 -2x = 16 + 50 Combine like terms: 16 + 50 = 66 -2x = 66 Divide each side by '-2'. x = -33 Simplifying x = -33
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