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Simplifying 16(x + -7) = 4(x + 38) Reorder the terms: 16(-7 + x) = 4(x + 38) (-7 * 16 + x * 16) = 4(x + 38) (-112 + 16x) = 4(x + 38) Reorder the terms: -112 + 16x = 4(38 + x) -112 + 16x = (38 * 4 + x * 4) -112 + 16x = (152 + 4x) Solving -112 + 16x = 152 + 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. -112 + 16x + -4x = 152 + 4x + -4x Combine like terms: 16x + -4x = 12x -112 + 12x = 152 + 4x + -4x Combine like terms: 4x + -4x = 0 -112 + 12x = 152 + 0 -112 + 12x = 152 Add '112' to each side of the equation. -112 + 112 + 12x = 152 + 112 Combine like terms: -112 + 112 = 0 0 + 12x = 152 + 112 12x = 152 + 112 Combine like terms: 152 + 112 = 264 12x = 264 Divide each side by '12'. x = 22 Simplifying x = 22
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