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Simplifying -1x + 45 = 2x + 21 Reorder the terms: 45 + -1x = 2x + 21 Reorder the terms: 45 + -1x = 21 + 2x Solving 45 + -1x = 21 + 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 = 21 + 2x + -2x Combine like terms: -1x + -2x = -3x 45 + -3x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + -3x = 21 + 0 45 + -3x = 21 Add '-45' to each side of the equation. 45 + -45 + -3x = 21 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 21 + -45 -3x = 21 + -45 Combine like terms: 21 + -45 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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