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Simplifying -23(x + -23) = 19(x + -12) Reorder the terms: -23(-23 + x) = 19(x + -12) (-23 * -23 + x * -23) = 19(x + -12) (529 + -23x) = 19(x + -12) Reorder the terms: 529 + -23x = 19(-12 + x) 529 + -23x = (-12 * 19 + x * 19) 529 + -23x = (-228 + 19x) Solving 529 + -23x = -228 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 529 + -23x + -19x = -228 + 19x + -19x Combine like terms: -23x + -19x = -42x 529 + -42x = -228 + 19x + -19x Combine like terms: 19x + -19x = 0 529 + -42x = -228 + 0 529 + -42x = -228 Add '-529' to each side of the equation. 529 + -529 + -42x = -228 + -529 Combine like terms: 529 + -529 = 0 0 + -42x = -228 + -529 -42x = -228 + -529 Combine like terms: -228 + -529 = -757 -42x = -757 Divide each side by '-42'. x = 18.02380952 Simplifying x = 18.02380952
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