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Simplifying (3x + -15) = 90 + -1(2x + -10) Reorder the terms: (-15 + 3x) = 90 + -1(2x + -10) Remove parenthesis around (-15 + 3x) -15 + 3x = 90 + -1(2x + -10) Reorder the terms: -15 + 3x = 90 + -1(-10 + 2x) -15 + 3x = 90 + (-10 * -1 + 2x * -1) -15 + 3x = 90 + (10 + -2x) Combine like terms: 90 + 10 = 100 -15 + 3x = 100 + -2x Solving -15 + 3x = 100 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 3x + 2x = 100 + -2x + 2x Combine like terms: 3x + 2x = 5x -15 + 5x = 100 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 5x = 100 + 0 -15 + 5x = 100 Add '15' to each side of the equation. -15 + 15 + 5x = 100 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 100 + 15 5x = 100 + 15 Combine like terms: 100 + 15 = 115 5x = 115 Divide each side by '5'. x = 23 Simplifying x = 23
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