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Simplifying -16(x + -8) = 4(x + 42) Reorder the terms: -16(-8 + x) = 4(x + 42) (-8 * -16 + x * -16) = 4(x + 42) (128 + -16x) = 4(x + 42) Reorder the terms: 128 + -16x = 4(42 + x) 128 + -16x = (42 * 4 + x * 4) 128 + -16x = (168 + 4x) Solving 128 + -16x = 168 + 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. 128 + -16x + -4x = 168 + 4x + -4x Combine like terms: -16x + -4x = -20x 128 + -20x = 168 + 4x + -4x Combine like terms: 4x + -4x = 0 128 + -20x = 168 + 0 128 + -20x = 168 Add '-128' to each side of the equation. 128 + -128 + -20x = 168 + -128 Combine like terms: 128 + -128 = 0 0 + -20x = 168 + -128 -20x = 168 + -128 Combine like terms: 168 + -128 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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