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Simplifying (5x + 45) = 10 + (18x + -64) Reorder the terms: (45 + 5x) = 10 + (18x + -64) Remove parenthesis around (45 + 5x) 45 + 5x = 10 + (18x + -64) Reorder the terms: 45 + 5x = 10 + (-64 + 18x) Remove parenthesis around (-64 + 18x) 45 + 5x = 10 + -64 + 18x Combine like terms: 10 + -64 = -54 45 + 5x = -54 + 18x Solving 45 + 5x = -54 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 45 + 5x + -18x = -54 + 18x + -18x Combine like terms: 5x + -18x = -13x 45 + -13x = -54 + 18x + -18x Combine like terms: 18x + -18x = 0 45 + -13x = -54 + 0 45 + -13x = -54 Add '-45' to each side of the equation. 45 + -45 + -13x = -54 + -45 Combine like terms: 45 + -45 = 0 0 + -13x = -54 + -45 -13x = -54 + -45 Combine like terms: -54 + -45 = -99 -13x = -99 Divide each side by '-13'. x = 7.615384615 Simplifying x = 7.615384615
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