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Simplifying 7x + -3(4x + -4) = 52 Reorder the terms: 7x + -3(-4 + 4x) = 52 7x + (-4 * -3 + 4x * -3) = 52 7x + (12 + -12x) = 52 Reorder the terms: 12 + 7x + -12x = 52 Combine like terms: 7x + -12x = -5x 12 + -5x = 52 Solving 12 + -5x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 52 + -12 -5x = 52 + -12 Combine like terms: 52 + -12 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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