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Simplifying (4x + -3) + (5x + -42) = 90 Reorder the terms: (-3 + 4x) + (5x + -42) = 90 Remove parenthesis around (-3 + 4x) -3 + 4x + (5x + -42) = 90 Reorder the terms: -3 + 4x + (-42 + 5x) = 90 Remove parenthesis around (-42 + 5x) -3 + 4x + -42 + 5x = 90 Reorder the terms: -3 + -42 + 4x + 5x = 90 Combine like terms: -3 + -42 = -45 -45 + 4x + 5x = 90 Combine like terms: 4x + 5x = 9x -45 + 9x = 90 Solving -45 + 9x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 9x = 90 + 45 Combine like terms: -45 + 45 = 0 0 + 9x = 90 + 45 9x = 90 + 45 Combine like terms: 90 + 45 = 135 9x = 135 Divide each side by '9'. x = 15 Simplifying x = 15
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