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Simplifying 0.5(8x + 4) + -1(x + 7) = 0 Reorder the terms: 0.5(4 + 8x) + -1(x + 7) = 0 (4 * 0.5 + 8x * 0.5) + -1(x + 7) = 0 (2 + 4x) + -1(x + 7) = 0 Reorder the terms: 2 + 4x + -1(7 + x) = 0 2 + 4x + (7 * -1 + x * -1) = 0 2 + 4x + (-7 + -1x) = 0 Reorder the terms: 2 + -7 + 4x + -1x = 0 Combine like terms: 2 + -7 = -5 -5 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x -5 + 3x = 0 Solving -5 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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