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Simplifying 52 + -1x = 100 + 23x Solving 52 + -1x = 100 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 52 + -1x + -23x = 100 + 23x + -23x Combine like terms: -1x + -23x = -24x 52 + -24x = 100 + 23x + -23x Combine like terms: 23x + -23x = 0 52 + -24x = 100 + 0 52 + -24x = 100 Add '-52' to each side of the equation. 52 + -52 + -24x = 100 + -52 Combine like terms: 52 + -52 = 0 0 + -24x = 100 + -52 -24x = 100 + -52 Combine like terms: 100 + -52 = 48 -24x = 48 Divide each side by '-24'. x = -2 Simplifying x = -2
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