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Simplifying -4(10 + 3x) = -52 (10 * -4 + 3x * -4) = -52 (-40 + -12x) = -52 Solving -40 + -12x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -12x = -52 + 40 Combine like terms: -40 + 40 = 0 0 + -12x = -52 + 40 -12x = -52 + 40 Combine like terms: -52 + 40 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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