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Simplifying -5(x + 2) + -3x = 46 Reorder the terms: -5(2 + x) + -3x = 46 (2 * -5 + x * -5) + -3x = 46 (-10 + -5x) + -3x = 46 Combine like terms: -5x + -3x = -8x -10 + -8x = 46 Solving -10 + -8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -8x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 46 + 10 -8x = 46 + 10 Combine like terms: 46 + 10 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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