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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 = 12x 128 + 12x = -168 + 4x + -4x Combine like terms: 4x + -4x = 0 128 + 12x = -168 + 0 128 + 12x = -168 Add '-128' to each side of the equation. 128 + -128 + 12x = -168 + -128 Combine like terms: 128 + -128 = 0 0 + 12x = -168 + -128 12x = -168 + -128 Combine like terms: -168 + -128 = -296 12x = -296 Divide each side by '12'. x = -24.66666667 Simplifying x = -24.66666667
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