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Simplifying -16(x + 2) + 5(4x + -4) = 3(x + -6) + 13 Reorder the terms: -16(2 + x) + 5(4x + -4) = 3(x + -6) + 13 (2 * -16 + x * -16) + 5(4x + -4) = 3(x + -6) + 13 (-32 + -16x) + 5(4x + -4) = 3(x + -6) + 13 Reorder the terms: -32 + -16x + 5(-4 + 4x) = 3(x + -6) + 13 -32 + -16x + (-4 * 5 + 4x * 5) = 3(x + -6) + 13 -32 + -16x + (-20 + 20x) = 3(x + -6) + 13 Reorder the terms: -32 + -20 + -16x + 20x = 3(x + -6) + 13 Combine like terms: -32 + -20 = -52 -52 + -16x + 20x = 3(x + -6) + 13 Combine like terms: -16x + 20x = 4x -52 + 4x = 3(x + -6) + 13 Reorder the terms: -52 + 4x = 3(-6 + x) + 13 -52 + 4x = (-6 * 3 + x * 3) + 13 -52 + 4x = (-18 + 3x) + 13 Reorder the terms: -52 + 4x = -18 + 13 + 3x Combine like terms: -18 + 13 = -5 -52 + 4x = -5 + 3x Solving -52 + 4x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -52 + 4x + -3x = -5 + 3x + -3x Combine like terms: 4x + -3x = 1x -52 + 1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -52 + 1x = -5 + 0 -52 + 1x = -5 Add '52' to each side of the equation. -52 + 52 + 1x = -5 + 52 Combine like terms: -52 + 52 = 0 0 + 1x = -5 + 52 1x = -5 + 52 Combine like terms: -5 + 52 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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