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Simplifying -152 = -5x + -4(3x + 4) Reorder the terms: -152 = -5x + -4(4 + 3x) -152 = -5x + (4 * -4 + 3x * -4) -152 = -5x + (-16 + -12x) Reorder the terms: -152 = -16 + -5x + -12x Combine like terms: -5x + -12x = -17x -152 = -16 + -17x Solving -152 = -16 + -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 = -16 + -17x + 17x Combine like terms: -17x + 17x = 0 -152 + 17x = -16 + 0 -152 + 17x = -16 Add '152' to each side of the equation. -152 + 152 + 17x = -16 + 152 Combine like terms: -152 + 152 = 0 0 + 17x = -16 + 152 17x = -16 + 152 Combine like terms: -16 + 152 = 136 17x = 136 Divide each side by '17'. x = 8 Simplifying x = 8
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