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Simplifying 1(4x + 2) + -1(-3x + -5) = 3 Reorder the terms: 1(2 + 4x) + -1(-3x + -5) = 3 (2 * 1 + 4x * 1) + -1(-3x + -5) = 3 (2 + 4x) + -1(-3x + -5) = 3 Reorder the terms: 2 + 4x + -1(-5 + -3x) = 3 2 + 4x + (-5 * -1 + -3x * -1) = 3 2 + 4x + (5 + 3x) = 3 Reorder the terms: 2 + 5 + 4x + 3x = 3 Combine like terms: 2 + 5 = 7 7 + 4x + 3x = 3 Combine like terms: 4x + 3x = 7x 7 + 7x = 3 Solving 7 + 7x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 3 + -7 7x = 3 + -7 Combine like terms: 3 + -7 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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