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Simplifying 4(7x + -1) + -3(8x + -2) = 0 Reorder the terms: 4(-1 + 7x) + -3(8x + -2) = 0 (-1 * 4 + 7x * 4) + -3(8x + -2) = 0 (-4 + 28x) + -3(8x + -2) = 0 Reorder the terms: -4 + 28x + -3(-2 + 8x) = 0 -4 + 28x + (-2 * -3 + 8x * -3) = 0 -4 + 28x + (6 + -24x) = 0 Reorder the terms: -4 + 6 + 28x + -24x = 0 Combine like terms: -4 + 6 = 2 2 + 28x + -24x = 0 Combine like terms: 28x + -24x = 4x 2 + 4x = 0 Solving 2 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 0 + -2 4x = 0 + -2 Combine like terms: 0 + -2 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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