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Simplifying 1(2x + -5) + 1(4x + 3) = 1 Reorder the terms: 1(-5 + 2x) + 1(4x + 3) = 1 (-5 * 1 + 2x * 1) + 1(4x + 3) = 1 (-5 + 2x) + 1(4x + 3) = 1 Reorder the terms: -5 + 2x + 1(3 + 4x) = 1 -5 + 2x + (3 * 1 + 4x * 1) = 1 -5 + 2x + (3 + 4x) = 1 Reorder the terms: -5 + 3 + 2x + 4x = 1 Combine like terms: -5 + 3 = -2 -2 + 2x + 4x = 1 Combine like terms: 2x + 4x = 6x -2 + 6x = 1 Solving -2 + 6x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 1 + 2 6x = 1 + 2 Combine like terms: 1 + 2 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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