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Simplifying (-4x + 46) + (8x + 32) = 90 Reorder the terms: (46 + -4x) + (8x + 32) = 90 Remove parenthesis around (46 + -4x) 46 + -4x + (8x + 32) = 90 Reorder the terms: 46 + -4x + (32 + 8x) = 90 Remove parenthesis around (32 + 8x) 46 + -4x + 32 + 8x = 90 Reorder the terms: 46 + 32 + -4x + 8x = 90 Combine like terms: 46 + 32 = 78 78 + -4x + 8x = 90 Combine like terms: -4x + 8x = 4x 78 + 4x = 90 Solving 78 + 4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 4x = 90 + -78 Combine like terms: 78 + -78 = 0 0 + 4x = 90 + -78 4x = 90 + -78 Combine like terms: 90 + -78 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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