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Simplifying -1x + 74 = 6x + -3 Reorder the terms: 74 + -1x = 6x + -3 Reorder the terms: 74 + -1x = -3 + 6x Solving 74 + -1x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 74 + -1x + -6x = -3 + 6x + -6x Combine like terms: -1x + -6x = -7x 74 + -7x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 74 + -7x = -3 + 0 74 + -7x = -3 Add '-74' to each side of the equation. 74 + -74 + -7x = -3 + -74 Combine like terms: 74 + -74 = 0 0 + -7x = -3 + -74 -7x = -3 + -74 Combine like terms: -3 + -74 = -77 -7x = -77 Divide each side by '-7'. x = 11 Simplifying x = 11
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