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Simplifying 5(x + -4) + 4(x + -6) = 7 Reorder the terms: 5(-4 + x) + 4(x + -6) = 7 (-4 * 5 + x * 5) + 4(x + -6) = 7 (-20 + 5x) + 4(x + -6) = 7 Reorder the terms: -20 + 5x + 4(-6 + x) = 7 -20 + 5x + (-6 * 4 + x * 4) = 7 -20 + 5x + (-24 + 4x) = 7 Reorder the terms: -20 + -24 + 5x + 4x = 7 Combine like terms: -20 + -24 = -44 -44 + 5x + 4x = 7 Combine like terms: 5x + 4x = 9x -44 + 9x = 7 Solving -44 + 9x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 9x = 7 + 44 Combine like terms: -44 + 44 = 0 0 + 9x = 7 + 44 9x = 7 + 44 Combine like terms: 7 + 44 = 51 9x = 51 Divide each side by '9'. x = 5.666666667 Simplifying x = 5.666666667
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