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Simplifying -1x + 45 = 2x + -2 + -1 Reorder the terms: 45 + -1x = 2x + -2 + -1 Reorder the terms: 45 + -1x = -2 + -1 + 2x Combine like terms: -2 + -1 = -3 45 + -1x = -3 + 2x Solving 45 + -1x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + -1x + -2x = -3 + 2x + -2x Combine like terms: -1x + -2x = -3x 45 + -3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -3x = -3 + 0 45 + -3x = -3 Add '-45' to each side of the equation. 45 + -45 + -3x = -3 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = -3 + -45 -3x = -3 + -45 Combine like terms: -3 + -45 = -48 -3x = -48 Divide each side by '-3'. x = 16 Simplifying x = 16
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