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Simplifying -8(12 + -10x) = 52 + 6x (12 * -8 + -10x * -8) = 52 + 6x (-96 + 80x) = 52 + 6x Solving -96 + 80x = 52 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -96 + 80x + -6x = 52 + 6x + -6x Combine like terms: 80x + -6x = 74x -96 + 74x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 -96 + 74x = 52 + 0 -96 + 74x = 52 Add '96' to each side of the equation. -96 + 96 + 74x = 52 + 96 Combine like terms: -96 + 96 = 0 0 + 74x = 52 + 96 74x = 52 + 96 Combine like terms: 52 + 96 = 148 74x = 148 Divide each side by '74'. x = 2 Simplifying x = 2
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