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Simplifying 4(x + -8) + -2(x + -5) + 7x = 0 Reorder the terms: 4(-8 + x) + -2(x + -5) + 7x = 0 (-8 * 4 + x * 4) + -2(x + -5) + 7x = 0 (-32 + 4x) + -2(x + -5) + 7x = 0 Reorder the terms: -32 + 4x + -2(-5 + x) + 7x = 0 -32 + 4x + (-5 * -2 + x * -2) + 7x = 0 -32 + 4x + (10 + -2x) + 7x = 0 Reorder the terms: -32 + 10 + 4x + -2x + 7x = 0 Combine like terms: -32 + 10 = -22 -22 + 4x + -2x + 7x = 0 Combine like terms: 4x + -2x = 2x -22 + 2x + 7x = 0 Combine like terms: 2x + 7x = 9x -22 + 9x = 0 Solving -22 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 9x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 9x = 0 + 22 9x = 0 + 22 Combine like terms: 0 + 22 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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