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Simplifying 13 + 4(2x + -4) = 16 + -1(4x + -5) Reorder the terms: 13 + 4(-4 + 2x) = 16 + -1(4x + -5) 13 + (-4 * 4 + 2x * 4) = 16 + -1(4x + -5) 13 + (-16 + 8x) = 16 + -1(4x + -5) Combine like terms: 13 + -16 = -3 -3 + 8x = 16 + -1(4x + -5) Reorder the terms: -3 + 8x = 16 + -1(-5 + 4x) -3 + 8x = 16 + (-5 * -1 + 4x * -1) -3 + 8x = 16 + (5 + -4x) Combine like terms: 16 + 5 = 21 -3 + 8x = 21 + -4x Solving -3 + 8x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + 8x + 4x = 21 + -4x + 4x Combine like terms: 8x + 4x = 12x -3 + 12x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 12x = 21 + 0 -3 + 12x = 21 Add '3' to each side of the equation. -3 + 3 + 12x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 21 + 3 12x = 21 + 3 Combine like terms: 21 + 3 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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