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Simplifying -152 = 3x + 5(-2x + -15) Reorder the terms: -152 = 3x + 5(-15 + -2x) -152 = 3x + (-15 * 5 + -2x * 5) -152 = 3x + (-75 + -10x) Reorder the terms: -152 = -75 + 3x + -10x Combine like terms: 3x + -10x = -7x -152 = -75 + -7x Solving -152 = -75 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -152 + 7x = -75 + -7x + 7x Combine like terms: -7x + 7x = 0 -152 + 7x = -75 + 0 -152 + 7x = -75 Add '152' to each side of the equation. -152 + 152 + 7x = -75 + 152 Combine like terms: -152 + 152 = 0 0 + 7x = -75 + 152 7x = -75 + 152 Combine like terms: -75 + 152 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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