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Simplifying 5x + 4 + -2x = 20 + -1(4x + 2) Reorder the terms: 4 + 5x + -2x = 20 + -1(4x + 2) Combine like terms: 5x + -2x = 3x 4 + 3x = 20 + -1(4x + 2) Reorder the terms: 4 + 3x = 20 + -1(2 + 4x) 4 + 3x = 20 + (2 * -1 + 4x * -1) 4 + 3x = 20 + (-2 + -4x) Combine like terms: 20 + -2 = 18 4 + 3x = 18 + -4x Solving 4 + 3x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 3x + 4x = 18 + -4x + 4x Combine like terms: 3x + 4x = 7x 4 + 7x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 7x = 18 + 0 4 + 7x = 18 Add '-4' to each side of the equation. 4 + -4 + 7x = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 18 + -4 7x = 18 + -4 Combine like terms: 18 + -4 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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