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Simplifying 6(x + -5) + -3(x + -7) = 14 Reorder the terms: 6(-5 + x) + -3(x + -7) = 14 (-5 * 6 + x * 6) + -3(x + -7) = 14 (-30 + 6x) + -3(x + -7) = 14 Reorder the terms: -30 + 6x + -3(-7 + x) = 14 -30 + 6x + (-7 * -3 + x * -3) = 14 -30 + 6x + (21 + -3x) = 14 Reorder the terms: -30 + 21 + 6x + -3x = 14 Combine like terms: -30 + 21 = -9 -9 + 6x + -3x = 14 Combine like terms: 6x + -3x = 3x -9 + 3x = 14 Solving -9 + 3x = 14 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 + 3x = 14 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 14 + 9 3x = 14 + 9 Combine like terms: 14 + 9 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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