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Simplifying (3x + -15) + (5x + -23) = 90 Reorder the terms: (-15 + 3x) + (5x + -23) = 90 Remove parenthesis around (-15 + 3x) -15 + 3x + (5x + -23) = 90 Reorder the terms: -15 + 3x + (-23 + 5x) = 90 Remove parenthesis around (-23 + 5x) -15 + 3x + -23 + 5x = 90 Reorder the terms: -15 + -23 + 3x + 5x = 90 Combine like terms: -15 + -23 = -38 -38 + 3x + 5x = 90 Combine like terms: 3x + 5x = 8x -38 + 8x = 90 Solving -38 + 8x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 8x = 90 + 38 Combine like terms: -38 + 38 = 0 0 + 8x = 90 + 38 8x = 90 + 38 Combine like terms: 90 + 38 = 128 8x = 128 Divide each side by '8'. x = 16 Simplifying x = 16
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