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Simplifying 10x + 4 = 52x + -1340 Reorder the terms: 4 + 10x = 52x + -1340 Reorder the terms: 4 + 10x = -1340 + 52x Solving 4 + 10x = -1340 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 4 + 10x + -52x = -1340 + 52x + -52x Combine like terms: 10x + -52x = -42x 4 + -42x = -1340 + 52x + -52x Combine like terms: 52x + -52x = 0 4 + -42x = -1340 + 0 4 + -42x = -1340 Add '-4' to each side of the equation. 4 + -4 + -42x = -1340 + -4 Combine like terms: 4 + -4 = 0 0 + -42x = -1340 + -4 -42x = -1340 + -4 Combine like terms: -1340 + -4 = -1344 -42x = -1344 Divide each side by '-42'. x = 32 Simplifying x = 32
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