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Simplifying -152 = 4x + -3(7x + -6) Reorder the terms: -152 = 4x + -3(-6 + 7x) -152 = 4x + (-6 * -3 + 7x * -3) -152 = 4x + (18 + -21x) Reorder the terms: -152 = 18 + 4x + -21x Combine like terms: 4x + -21x = -17x -152 = 18 + -17x Solving -152 = 18 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -152 + 17x = 18 + -17x + 17x Combine like terms: -17x + 17x = 0 -152 + 17x = 18 + 0 -152 + 17x = 18 Add '152' to each side of the equation. -152 + 152 + 17x = 18 + 152 Combine like terms: -152 + 152 = 0 0 + 17x = 18 + 152 17x = 18 + 152 Combine like terms: 18 + 152 = 170 17x = 170 Divide each side by '17'. x = 10 Simplifying x = 10
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