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Simplifying -16 = 6(4 + 6x) + 4(-5 + -4x) -16 = (4 * 6 + 6x * 6) + 4(-5 + -4x) -16 = (24 + 36x) + 4(-5 + -4x) -16 = 24 + 36x + (-5 * 4 + -4x * 4) -16 = 24 + 36x + (-20 + -16x) Reorder the terms: -16 = 24 + -20 + 36x + -16x Combine like terms: 24 + -20 = 4 -16 = 4 + 36x + -16x Combine like terms: 36x + -16x = 20x -16 = 4 + 20x Solving -16 = 4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -16 + -20x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 -16 + -20x = 4 + 0 -16 + -20x = 4 Add '16' to each side of the equation. -16 + 16 + -20x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -20x = 4 + 16 -20x = 4 + 16 Combine like terms: 4 + 16 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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