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Simplifying 1(2x + -5) = 1(4x + 5) Reorder the terms: 1(-5 + 2x) = 1(4x + 5) (-5 * 1 + 2x * 1) = 1(4x + 5) (-5 + 2x) = 1(4x + 5) Reorder the terms: -5 + 2x = 1(5 + 4x) -5 + 2x = (5 * 1 + 4x * 1) -5 + 2x = (5 + 4x) Solving -5 + 2x = 5 + 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. -5 + 2x + -4x = 5 + 4x + -4x Combine like terms: 2x + -4x = -2x -5 + -2x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -2x = 5 + 0 -5 + -2x = 5 Add '5' to each side of the equation. -5 + 5 + -2x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 5 + 5 -2x = 5 + 5 Combine like terms: 5 + 5 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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