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Simplifying 45 + -6x = x + 171 Reorder the terms: 45 + -6x = 171 + x Solving 45 + -6x = 171 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 45 + -6x + -1x = 171 + x + -1x Combine like terms: -6x + -1x = -7x 45 + -7x = 171 + x + -1x Combine like terms: x + -1x = 0 45 + -7x = 171 + 0 45 + -7x = 171 Add '-45' to each side of the equation. 45 + -45 + -7x = 171 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = 171 + -45 -7x = 171 + -45 Combine like terms: 171 + -45 = 126 -7x = 126 Divide each side by '-7'. x = -18 Simplifying x = -18
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