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Simplifying -148 = -3x + 5(-4x + -2) Reorder the terms: -148 = -3x + 5(-2 + -4x) -148 = -3x + (-2 * 5 + -4x * 5) -148 = -3x + (-10 + -20x) Reorder the terms: -148 = -10 + -3x + -20x Combine like terms: -3x + -20x = -23x -148 = -10 + -23x Solving -148 = -10 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. -148 + 23x = -10 + -23x + 23x Combine like terms: -23x + 23x = 0 -148 + 23x = -10 + 0 -148 + 23x = -10 Add '148' to each side of the equation. -148 + 148 + 23x = -10 + 148 Combine like terms: -148 + 148 = 0 0 + 23x = -10 + 148 23x = -10 + 148 Combine like terms: -10 + 148 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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