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Simplifying 4(3x + -7) + 0.5(8 + -6x) = 0 Reorder the terms: 4(-7 + 3x) + 0.5(8 + -6x) = 0 (-7 * 4 + 3x * 4) + 0.5(8 + -6x) = 0 (-28 + 12x) + 0.5(8 + -6x) = 0 -28 + 12x + (8 * 0.5 + -6x * 0.5) = 0 -28 + 12x + (4 + -3x) = 0 Reorder the terms: -28 + 4 + 12x + -3x = 0 Combine like terms: -28 + 4 = -24 -24 + 12x + -3x = 0 Combine like terms: 12x + -3x = 9x -24 + 9x = 0 Solving -24 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 9x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 0 + 24 9x = 0 + 24 Combine like terms: 0 + 24 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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