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Simplifying -10(3x + -5) = 2x + -46 Reorder the terms: -10(-5 + 3x) = 2x + -46 (-5 * -10 + 3x * -10) = 2x + -46 (50 + -30x) = 2x + -46 Reorder the terms: 50 + -30x = -46 + 2x Solving 50 + -30x = -46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 50 + -30x + -2x = -46 + 2x + -2x Combine like terms: -30x + -2x = -32x 50 + -32x = -46 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + -32x = -46 + 0 50 + -32x = -46 Add '-50' to each side of the equation. 50 + -50 + -32x = -46 + -50 Combine like terms: 50 + -50 = 0 0 + -32x = -46 + -50 -32x = -46 + -50 Combine like terms: -46 + -50 = -96 -32x = -96 Divide each side by '-32'. x = 3 Simplifying x = 3
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