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Simplifying 16(x + -4) = 13(x + -5) Reorder the terms: 16(-4 + x) = 13(x + -5) (-4 * 16 + x * 16) = 13(x + -5) (-64 + 16x) = 13(x + -5) Reorder the terms: -64 + 16x = 13(-5 + x) -64 + 16x = (-5 * 13 + x * 13) -64 + 16x = (-65 + 13x) Solving -64 + 16x = -65 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -64 + 16x + -13x = -65 + 13x + -13x Combine like terms: 16x + -13x = 3x -64 + 3x = -65 + 13x + -13x Combine like terms: 13x + -13x = 0 -64 + 3x = -65 + 0 -64 + 3x = -65 Add '64' to each side of the equation. -64 + 64 + 3x = -65 + 64 Combine like terms: -64 + 64 = 0 0 + 3x = -65 + 64 3x = -65 + 64 Combine like terms: -65 + 64 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333
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