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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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