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Simplifying -23(9x + -23) = 4x + -8(7x + -54) Reorder the terms: -23(-23 + 9x) = 4x + -8(7x + -54) (-23 * -23 + 9x * -23) = 4x + -8(7x + -54) (529 + -207x) = 4x + -8(7x + -54) Reorder the terms: 529 + -207x = 4x + -8(-54 + 7x) 529 + -207x = 4x + (-54 * -8 + 7x * -8) 529 + -207x = 4x + (432 + -56x) Reorder the terms: 529 + -207x = 432 + 4x + -56x Combine like terms: 4x + -56x = -52x 529 + -207x = 432 + -52x Solving 529 + -207x = 432 + -52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52x' to each side of the equation. 529 + -207x + 52x = 432 + -52x + 52x Combine like terms: -207x + 52x = -155x 529 + -155x = 432 + -52x + 52x Combine like terms: -52x + 52x = 0 529 + -155x = 432 + 0 529 + -155x = 432 Add '-529' to each side of the equation. 529 + -529 + -155x = 432 + -529 Combine like terms: 529 + -529 = 0 0 + -155x = 432 + -529 -155x = 432 + -529 Combine like terms: 432 + -529 = -97 -155x = -97 Divide each side by '-155'. x = 0.6258064516 Simplifying x = 0.6258064516
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