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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 = 20x -112 + 20x = -152 + -4x + 4x Combine like terms: -4x + 4x = 0 -112 + 20x = -152 + 0 -112 + 20x = -152 Add '112' to each side of the equation. -112 + 112 + 20x = -152 + 112 Combine like terms: -112 + 112 = 0 0 + 20x = -152 + 112 20x = -152 + 112 Combine like terms: -152 + 112 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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