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Simplifying 6x + -76 = -1x + 127 Reorder the terms: -76 + 6x = -1x + 127 Reorder the terms: -76 + 6x = 127 + -1x Solving -76 + 6x = 127 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -76 + 6x + x = 127 + -1x + x Combine like terms: 6x + x = 7x -76 + 7x = 127 + -1x + x Combine like terms: -1x + x = 0 -76 + 7x = 127 + 0 -76 + 7x = 127 Add '76' to each side of the equation. -76 + 76 + 7x = 127 + 76 Combine like terms: -76 + 76 = 0 0 + 7x = 127 + 76 7x = 127 + 76 Combine like terms: 127 + 76 = 203 7x = 203 Divide each side by '7'. x = 29 Simplifying x = 29
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