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Simplifying 0.5(10x + -6) + -1(x + 4) = 0 Reorder the terms: 0.5(-6 + 10x) + -1(x + 4) = 0 (-6 * 0.5 + 10x * 0.5) + -1(x + 4) = 0 (-3 + 5x) + -1(x + 4) = 0 Reorder the terms: -3 + 5x + -1(4 + x) = 0 -3 + 5x + (4 * -1 + x * -1) = 0 -3 + 5x + (-4 + -1x) = 0 Reorder the terms: -3 + -4 + 5x + -1x = 0 Combine like terms: -3 + -4 = -7 -7 + 5x + -1x = 0 Combine like terms: 5x + -1x = 4x -7 + 4x = 0 Solving -7 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 0 + 7 4x = 0 + 7 Combine like terms: 0 + 7 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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