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Simplifying 5(4 + x) + -3(7 + -1x) = 0 (4 * 5 + x * 5) + -3(7 + -1x) = 0 (20 + 5x) + -3(7 + -1x) = 0 20 + 5x + (7 * -3 + -1x * -3) = 0 20 + 5x + (-21 + 3x) = 0 Reorder the terms: 20 + -21 + 5x + 3x = 0 Combine like terms: 20 + -21 = -1 -1 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -1 + 8x = 0 Solving -1 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 0 + 1 8x = 0 + 1 Combine like terms: 0 + 1 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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