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Simplifying 45 + -7x = -1x + -45 Reorder the terms: 45 + -7x = -45 + -1x Solving 45 + -7x = -45 + -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. 45 + -7x + x = -45 + -1x + x Combine like terms: -7x + x = -6x 45 + -6x = -45 + -1x + x Combine like terms: -1x + x = 0 45 + -6x = -45 + 0 45 + -6x = -45 Add '-45' to each side of the equation. 45 + -45 + -6x = -45 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = -45 + -45 -6x = -45 + -45 Combine like terms: -45 + -45 = -90 -6x = -90 Divide each side by '-6'. x = 15 Simplifying x = 15
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