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Simplifying 14x + 20 + -16x + -31 = 24 + -22x + 13x + -28 Reorder the terms: 20 + -31 + 14x + -16x = 24 + -22x + 13x + -28 Combine like terms: 20 + -31 = -11 -11 + 14x + -16x = 24 + -22x + 13x + -28 Combine like terms: 14x + -16x = -2x -11 + -2x = 24 + -22x + 13x + -28 Reorder the terms: -11 + -2x = 24 + -28 + -22x + 13x Combine like terms: 24 + -28 = -4 -11 + -2x = -4 + -22x + 13x Combine like terms: -22x + 13x = -9x -11 + -2x = -4 + -9x Solving -11 + -2x = -4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -11 + -2x + 9x = -4 + -9x + 9x Combine like terms: -2x + 9x = 7x -11 + 7x = -4 + -9x + 9x Combine like terms: -9x + 9x = 0 -11 + 7x = -4 + 0 -11 + 7x = -4 Add '11' to each side of the equation. -11 + 11 + 7x = -4 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = -4 + 11 7x = -4 + 11 Combine like terms: -4 + 11 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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