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Simplifying (2x + -10) + -1(2x + 30) = 20 + 3x Reorder the terms: (-10 + 2x) + -1(2x + 30) = 20 + 3x Remove parenthesis around (-10 + 2x) -10 + 2x + -1(2x + 30) = 20 + 3x Reorder the terms: -10 + 2x + -1(30 + 2x) = 20 + 3x -10 + 2x + (30 * -1 + 2x * -1) = 20 + 3x -10 + 2x + (-30 + -2x) = 20 + 3x Reorder the terms: -10 + -30 + 2x + -2x = 20 + 3x Combine like terms: -10 + -30 = -40 -40 + 2x + -2x = 20 + 3x Combine like terms: 2x + -2x = 0 -40 + 0 = 20 + 3x -40 = 20 + 3x Solving -40 = 20 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -40 + -3x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + -3x = 20 + 0 -40 + -3x = 20 Add '40' to each side of the equation. -40 + 40 + -3x = 20 + 40 Combine like terms: -40 + 40 = 0 0 + -3x = 20 + 40 -3x = 20 + 40 Combine like terms: 20 + 40 = 60 -3x = 60 Divide each side by '-3'. x = -20 Simplifying x = -20
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