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Simplifying 4(3x + -2) + -7(x + 1) = 0 Reorder the terms: 4(-2 + 3x) + -7(x + 1) = 0 (-2 * 4 + 3x * 4) + -7(x + 1) = 0 (-8 + 12x) + -7(x + 1) = 0 Reorder the terms: -8 + 12x + -7(1 + x) = 0 -8 + 12x + (1 * -7 + x * -7) = 0 -8 + 12x + (-7 + -7x) = 0 Reorder the terms: -8 + -7 + 12x + -7x = 0 Combine like terms: -8 + -7 = -15 -15 + 12x + -7x = 0 Combine like terms: 12x + -7x = 5x -15 + 5x = 0 Solving -15 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 0 + 15 5x = 0 + 15 Combine like terms: 0 + 15 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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