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Simplifying 49(x + -76) = 152 + -53x Reorder the terms: 49(-76 + x) = 152 + -53x (-76 * 49 + x * 49) = 152 + -53x (-3724 + 49x) = 152 + -53x Solving -3724 + 49x = 152 + -53x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '53x' to each side of the equation. -3724 + 49x + 53x = 152 + -53x + 53x Combine like terms: 49x + 53x = 102x -3724 + 102x = 152 + -53x + 53x Combine like terms: -53x + 53x = 0 -3724 + 102x = 152 + 0 -3724 + 102x = 152 Add '3724' to each side of the equation. -3724 + 3724 + 102x = 152 + 3724 Combine like terms: -3724 + 3724 = 0 0 + 102x = 152 + 3724 102x = 152 + 3724 Combine like terms: 152 + 3724 = 3876 102x = 3876 Divide each side by '102'. x = 38 Simplifying x = 38
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