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Simplifying -152 = -5(7 + 6x) + 3 -152 = (7 * -5 + 6x * -5) + 3 -152 = (-35 + -30x) + 3 Reorder the terms: -152 = -35 + 3 + -30x Combine like terms: -35 + 3 = -32 -152 = -32 + -30x Solving -152 = -32 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -152 + 30x = -32 + -30x + 30x Combine like terms: -30x + 30x = 0 -152 + 30x = -32 + 0 -152 + 30x = -32 Add '152' to each side of the equation. -152 + 152 + 30x = -32 + 152 Combine like terms: -152 + 152 = 0 0 + 30x = -32 + 152 30x = -32 + 152 Combine like terms: -32 + 152 = 120 30x = 120 Divide each side by '30'. x = 4 Simplifying x = 4
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