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Simplifying 2x + 5 = 7 + -1(2x + -4) Reorder the terms: 5 + 2x = 7 + -1(2x + -4) Reorder the terms: 5 + 2x = 7 + -1(-4 + 2x) 5 + 2x = 7 + (-4 * -1 + 2x * -1) 5 + 2x = 7 + (4 + -2x) Combine like terms: 7 + 4 = 11 5 + 2x = 11 + -2x Solving 5 + 2x = 11 + -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. 5 + 2x + 2x = 11 + -2x + 2x Combine like terms: 2x + 2x = 4x 5 + 4x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 4x = 11 + 0 5 + 4x = 11 Add '-5' to each side of the equation. 5 + -5 + 4x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 11 + -5 4x = 11 + -5 Combine like terms: 11 + -5 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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