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Simplifying 8(x + -4) + -4(x + -1) + 7x = 0 Reorder the terms: 8(-4 + x) + -4(x + -1) + 7x = 0 (-4 * 8 + x * 8) + -4(x + -1) + 7x = 0 (-32 + 8x) + -4(x + -1) + 7x = 0 Reorder the terms: -32 + 8x + -4(-1 + x) + 7x = 0 -32 + 8x + (-1 * -4 + x * -4) + 7x = 0 -32 + 8x + (4 + -4x) + 7x = 0 Reorder the terms: -32 + 4 + 8x + -4x + 7x = 0 Combine like terms: -32 + 4 = -28 -28 + 8x + -4x + 7x = 0 Combine like terms: 8x + -4x = 4x -28 + 4x + 7x = 0 Combine like terms: 4x + 7x = 11x -28 + 11x = 0 Solving -28 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 11x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 11x = 0 + 28 11x = 0 + 28 Combine like terms: 0 + 28 = 28 11x = 28 Divide each side by '11'. x = 2.545454545 Simplifying x = 2.545454545
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