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Simplifying (6x + 71) + (15x + -23) = 90 Reorder the terms: (71 + 6x) + (15x + -23) = 90 Remove parenthesis around (71 + 6x) 71 + 6x + (15x + -23) = 90 Reorder the terms: 71 + 6x + (-23 + 15x) = 90 Remove parenthesis around (-23 + 15x) 71 + 6x + -23 + 15x = 90 Reorder the terms: 71 + -23 + 6x + 15x = 90 Combine like terms: 71 + -23 = 48 48 + 6x + 15x = 90 Combine like terms: 6x + 15x = 21x 48 + 21x = 90 Solving 48 + 21x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 21x = 90 + -48 Combine like terms: 48 + -48 = 0 0 + 21x = 90 + -48 21x = 90 + -48 Combine like terms: 90 + -48 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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