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Simplifying 3(4x + -7) + -4(x + 1) = 0 Reorder the terms: 3(-7 + 4x) + -4(x + 1) = 0 (-7 * 3 + 4x * 3) + -4(x + 1) = 0 (-21 + 12x) + -4(x + 1) = 0 Reorder the terms: -21 + 12x + -4(1 + x) = 0 -21 + 12x + (1 * -4 + x * -4) = 0 -21 + 12x + (-4 + -4x) = 0 Reorder the terms: -21 + -4 + 12x + -4x = 0 Combine like terms: -21 + -4 = -25 -25 + 12x + -4x = 0 Combine like terms: 12x + -4x = 8x -25 + 8x = 0 Solving -25 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 8x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 8x = 0 + 25 8x = 0 + 25 Combine like terms: 0 + 25 = 25 8x = 25 Divide each side by '8'. x = 3.125 Simplifying x = 3.125
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