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Simplifying 4(8 + -1x) + -52 = 26x + -5(4 + 6) (8 * 4 + -1x * 4) + -52 = 26x + -5(4 + 6) (32 + -4x) + -52 = 26x + -5(4 + 6) Reorder the terms: 32 + -52 + -4x = 26x + -5(4 + 6) Combine like terms: 32 + -52 = -20 -20 + -4x = 26x + -5(4 + 6) Combine like terms: 4 + 6 = 10 -20 + -4x = 26x + -5(10) Multiply -5 * 10 -20 + -4x = 26x + -50 Reorder the terms: -20 + -4x = -50 + 26x Solving -20 + -4x = -50 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -20 + -4x + -26x = -50 + 26x + -26x Combine like terms: -4x + -26x = -30x -20 + -30x = -50 + 26x + -26x Combine like terms: 26x + -26x = 0 -20 + -30x = -50 + 0 -20 + -30x = -50 Add '20' to each side of the equation. -20 + 20 + -30x = -50 + 20 Combine like terms: -20 + 20 = 0 0 + -30x = -50 + 20 -30x = -50 + 20 Combine like terms: -50 + 20 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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