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Simplifying 0.5(14x + -4) + -1(x + 7) = 0 Reorder the terms: 0.5(-4 + 14x) + -1(x + 7) = 0 (-4 * 0.5 + 14x * 0.5) + -1(x + 7) = 0 (-2 + 7x) + -1(x + 7) = 0 Reorder the terms: -2 + 7x + -1(7 + x) = 0 -2 + 7x + (7 * -1 + x * -1) = 0 -2 + 7x + (-7 + -1x) = 0 Reorder the terms: -2 + -7 + 7x + -1x = 0 Combine like terms: -2 + -7 = -9 -9 + 7x + -1x = 0 Combine like terms: 7x + -1x = 6x -9 + 6x = 0 Solving -9 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 0 + 9 6x = 0 + 9 Combine like terms: 0 + 9 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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