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Simplifying 4x + 3(x + -5) + -5(x + -3) = 2 Reorder the terms: 4x + 3(-5 + x) + -5(x + -3) = 2 4x + (-5 * 3 + x * 3) + -5(x + -3) = 2 4x + (-15 + 3x) + -5(x + -3) = 2 Reorder the terms: 4x + -15 + 3x + -5(-3 + x) = 2 4x + -15 + 3x + (-3 * -5 + x * -5) = 2 4x + -15 + 3x + (15 + -5x) = 2 Reorder the terms: -15 + 15 + 4x + 3x + -5x = 2 Combine like terms: -15 + 15 = 0 0 + 4x + 3x + -5x = 2 4x + 3x + -5x = 2 Combine like terms: 4x + 3x = 7x 7x + -5x = 2 Combine like terms: 7x + -5x = 2x 2x = 2 Solving 2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 1 Simplifying x = 1
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