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Simplifying -152 = -8(4x + 3) Reorder the terms: -152 = -8(3 + 4x) -152 = (3 * -8 + 4x * -8) -152 = (-24 + -32x) Solving -152 = -24 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -152 + 32x = -24 + -32x + 32x Combine like terms: -32x + 32x = 0 -152 + 32x = -24 + 0 -152 + 32x = -24 Add '152' to each side of the equation. -152 + 152 + 32x = -24 + 152 Combine like terms: -152 + 152 = 0 0 + 32x = -24 + 152 32x = -24 + 152 Combine like terms: -24 + 152 = 128 32x = 128 Divide each side by '32'. x = 4 Simplifying x = 4
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