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Simplifying 4(x + -5) + 16 = 16 + 5(x + -2) Reorder the terms: 4(-5 + x) + 16 = 16 + 5(x + -2) (-5 * 4 + x * 4) + 16 = 16 + 5(x + -2) (-20 + 4x) + 16 = 16 + 5(x + -2) Reorder the terms: -20 + 16 + 4x = 16 + 5(x + -2) Combine like terms: -20 + 16 = -4 -4 + 4x = 16 + 5(x + -2) Reorder the terms: -4 + 4x = 16 + 5(-2 + x) -4 + 4x = 16 + (-2 * 5 + x * 5) -4 + 4x = 16 + (-10 + 5x) Combine like terms: 16 + -10 = 6 -4 + 4x = 6 + 5x Solving -4 + 4x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 4x + -5x = 6 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = 6 + 0 -4 + -1x = 6 Add '4' to each side of the equation. -4 + 4 + -1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 6 + 4 -1x = 6 + 4 Combine like terms: 6 + 4 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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