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Simplifying -4(7 + -5x) = 10 + (-6 + -4x + 5) (7 * -4 + -5x * -4) = 10 + (-6 + -4x + 5) (-28 + 20x) = 10 + (-6 + -4x + 5) Reorder the terms: -28 + 20x = 10 + (-6 + 5 + -4x) Combine like terms: -6 + 5 = -1 -28 + 20x = 10 + (-1 + -4x) Remove parenthesis around (-1 + -4x) -28 + 20x = 10 + -1 + -4x Combine like terms: 10 + -1 = 9 -28 + 20x = 9 + -4x Solving -28 + 20x = 9 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -28 + 20x + 4x = 9 + -4x + 4x Combine like terms: 20x + 4x = 24x -28 + 24x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 24x = 9 + 0 -28 + 24x = 9 Add '28' to each side of the equation. -28 + 28 + 24x = 9 + 28 Combine like terms: -28 + 28 = 0 0 + 24x = 9 + 28 24x = 9 + 28 Combine like terms: 9 + 28 = 37 24x = 37 Divide each side by '24'. x = 1.541666667 Simplifying x = 1.541666667
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