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Simplifying 7x + 4 + -1(-3x + 5) = -2x + 4 Reorder the terms: 7x + 4 + -1(5 + -3x) = -2x + 4 7x + 4 + (5 * -1 + -3x * -1) = -2x + 4 7x + 4 + (-5 + 3x) = -2x + 4 Reorder the terms: 4 + -5 + 7x + 3x = -2x + 4 Combine like terms: 4 + -5 = -1 -1 + 7x + 3x = -2x + 4 Combine like terms: 7x + 3x = 10x -1 + 10x = -2x + 4 Reorder the terms: -1 + 10x = 4 + -2x Solving -1 + 10x = 4 + -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. -1 + 10x + 2x = 4 + -2x + 2x Combine like terms: 10x + 2x = 12x -1 + 12x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 12x = 4 + 0 -1 + 12x = 4 Add '1' to each side of the equation. -1 + 1 + 12x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 4 + 1 12x = 4 + 1 Combine like terms: 4 + 1 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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