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Simplifying -8(-8 + -2x) + 7(2x + -6) = 52 (-8 * -8 + -2x * -8) + 7(2x + -6) = 52 (64 + 16x) + 7(2x + -6) = 52 Reorder the terms: 64 + 16x + 7(-6 + 2x) = 52 64 + 16x + (-6 * 7 + 2x * 7) = 52 64 + 16x + (-42 + 14x) = 52 Reorder the terms: 64 + -42 + 16x + 14x = 52 Combine like terms: 64 + -42 = 22 22 + 16x + 14x = 52 Combine like terms: 16x + 14x = 30x 22 + 30x = 52 Solving 22 + 30x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 30x = 52 + -22 Combine like terms: 22 + -22 = 0 0 + 30x = 52 + -22 30x = 52 + -22 Combine like terms: 52 + -22 = 30 30x = 30 Divide each side by '30'. x = 1 Simplifying x = 1
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