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Simplifying -4(x + 3) + 4(2x + 5) = 16 Reorder the terms: -4(3 + x) + 4(2x + 5) = 16 (3 * -4 + x * -4) + 4(2x + 5) = 16 (-12 + -4x) + 4(2x + 5) = 16 Reorder the terms: -12 + -4x + 4(5 + 2x) = 16 -12 + -4x + (5 * 4 + 2x * 4) = 16 -12 + -4x + (20 + 8x) = 16 Reorder the terms: -12 + 20 + -4x + 8x = 16 Combine like terms: -12 + 20 = 8 8 + -4x + 8x = 16 Combine like terms: -4x + 8x = 4x 8 + 4x = 16 Solving 8 + 4x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 16 + -8 4x = 16 + -8 Combine like terms: 16 + -8 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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