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Simplifying 11(x + -8) + -2 = 23x + -174 Reorder the terms: 11(-8 + x) + -2 = 23x + -174 (-8 * 11 + x * 11) + -2 = 23x + -174 (-88 + 11x) + -2 = 23x + -174 Reorder the terms: -88 + -2 + 11x = 23x + -174 Combine like terms: -88 + -2 = -90 -90 + 11x = 23x + -174 Reorder the terms: -90 + 11x = -174 + 23x Solving -90 + 11x = -174 + 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. -90 + 11x + -23x = -174 + 23x + -23x Combine like terms: 11x + -23x = -12x -90 + -12x = -174 + 23x + -23x Combine like terms: 23x + -23x = 0 -90 + -12x = -174 + 0 -90 + -12x = -174 Add '90' to each side of the equation. -90 + 90 + -12x = -174 + 90 Combine like terms: -90 + 90 = 0 0 + -12x = -174 + 90 -12x = -174 + 90 Combine like terms: -174 + 90 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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