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Simplifying (3X + -30) + (2x + -20) = 90 Reorder the terms: (-30 + 3X) + (2x + -20) = 90 Remove parenthesis around (-30 + 3X) -30 + 3X + (2x + -20) = 90 Reorder the terms: -30 + 3X + (-20 + 2x) = 90 Remove parenthesis around (-20 + 2x) -30 + 3X + -20 + 2x = 90 Reorder the terms: -30 + -20 + 3X + 2x = 90 Combine like terms: -30 + -20 = -50 -50 + 3X + 2x = 90 Solving -50 + 3X + 2x = 90 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 3X + 50 + 2x = 90 + 50 Reorder the terms: -50 + 50 + 3X + 2x = 90 + 50 Combine like terms: -50 + 50 = 0 0 + 3X + 2x = 90 + 50 3X + 2x = 90 + 50 Combine like terms: 90 + 50 = 140 3X + 2x = 140 Add '-2x' to each side of the equation. 3X + 2x + -2x = 140 + -2x Combine like terms: 2x + -2x = 0 3X + 0 = 140 + -2x 3X = 140 + -2x Divide each side by '3'. X = 46.66666667 + -0.6666666667x Simplifying X = 46.66666667 + -0.6666666667x
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