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Simplifying (2x + -12) + (6x + 24) = 90 Reorder the terms: (-12 + 2x) + (6x + 24) = 90 Remove parenthesis around (-12 + 2x) -12 + 2x + (6x + 24) = 90 Reorder the terms: -12 + 2x + (24 + 6x) = 90 Remove parenthesis around (24 + 6x) -12 + 2x + 24 + 6x = 90 Reorder the terms: -12 + 24 + 2x + 6x = 90 Combine like terms: -12 + 24 = 12 12 + 2x + 6x = 90 Combine like terms: 2x + 6x = 8x 12 + 8x = 90 Solving 12 + 8x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 90 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 90 + -12 8x = 90 + -12 Combine like terms: 90 + -12 = 78 8x = 78 Divide each side by '8'. x = 9.75 Simplifying x = 9.75
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