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Simplifying 4(x + -11) + 3x = 20x + -31 Reorder the terms: 4(-11 + x) + 3x = 20x + -31 (-11 * 4 + x * 4) + 3x = 20x + -31 (-44 + 4x) + 3x = 20x + -31 Combine like terms: 4x + 3x = 7x -44 + 7x = 20x + -31 Reorder the terms: -44 + 7x = -31 + 20x Solving -44 + 7x = -31 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -44 + 7x + -20x = -31 + 20x + -20x Combine like terms: 7x + -20x = -13x -44 + -13x = -31 + 20x + -20x Combine like terms: 20x + -20x = 0 -44 + -13x = -31 + 0 -44 + -13x = -31 Add '44' to each side of the equation. -44 + 44 + -13x = -31 + 44 Combine like terms: -44 + 44 = 0 0 + -13x = -31 + 44 -13x = -31 + 44 Combine like terms: -31 + 44 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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