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Simplifying 2x + 4 = 17 + -1(2x + -3) Reorder the terms: 4 + 2x = 17 + -1(2x + -3) Reorder the terms: 4 + 2x = 17 + -1(-3 + 2x) 4 + 2x = 17 + (-3 * -1 + 2x * -1) 4 + 2x = 17 + (3 + -2x) Combine like terms: 17 + 3 = 20 4 + 2x = 20 + -2x Solving 4 + 2x = 20 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 2x + 2x = 20 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = 20 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = 20 + 0 4 + 4x = 20 Add '-4' to each side of the equation. 4 + -4 + 4x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 20 + -4 4x = 20 + -4 Combine like terms: 20 + -4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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