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Simplifying -4(x + 16) = 6(x + 6) Reorder the terms: -4(16 + x) = 6(x + 6) (16 * -4 + x * -4) = 6(x + 6) (-64 + -4x) = 6(x + 6) Reorder the terms: -64 + -4x = 6(6 + x) -64 + -4x = (6 * 6 + x * 6) -64 + -4x = (36 + 6x) Solving -64 + -4x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -64 + -4x + -6x = 36 + 6x + -6x Combine like terms: -4x + -6x = -10x -64 + -10x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 -64 + -10x = 36 + 0 -64 + -10x = 36 Add '64' to each side of the equation. -64 + 64 + -10x = 36 + 64 Combine like terms: -64 + 64 = 0 0 + -10x = 36 + 64 -10x = 36 + 64 Combine like terms: 36 + 64 = 100 -10x = 100 Divide each side by '-10'. x = -10 Simplifying x = -10
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