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Simplifying 3(2x + -5) + -4(x + -3) = 7 Reorder the terms: 3(-5 + 2x) + -4(x + -3) = 7 (-5 * 3 + 2x * 3) + -4(x + -3) = 7 (-15 + 6x) + -4(x + -3) = 7 Reorder the terms: -15 + 6x + -4(-3 + x) = 7 -15 + 6x + (-3 * -4 + x * -4) = 7 -15 + 6x + (12 + -4x) = 7 Reorder the terms: -15 + 12 + 6x + -4x = 7 Combine like terms: -15 + 12 = -3 -3 + 6x + -4x = 7 Combine like terms: 6x + -4x = 2x -3 + 2x = 7 Solving -3 + 2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 7 + 3 2x = 7 + 3 Combine like terms: 7 + 3 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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