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Simplifying (5x + -12) + (x + 54) = 90 Reorder the terms: (-12 + 5x) + (x + 54) = 90 Remove parenthesis around (-12 + 5x) -12 + 5x + (x + 54) = 90 Reorder the terms: -12 + 5x + (54 + x) = 90 Remove parenthesis around (54 + x) -12 + 5x + 54 + x = 90 Reorder the terms: -12 + 54 + 5x + x = 90 Combine like terms: -12 + 54 = 42 42 + 5x + x = 90 Combine like terms: 5x + x = 6x 42 + 6x = 90 Solving 42 + 6x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 6x = 90 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 90 + -42 6x = 90 + -42 Combine like terms: 90 + -42 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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