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Simplifying 5(2x + -3) + -1(x + -6) = 51 Reorder the terms: 5(-3 + 2x) + -1(x + -6) = 51 (-3 * 5 + 2x * 5) + -1(x + -6) = 51 (-15 + 10x) + -1(x + -6) = 51 Reorder the terms: -15 + 10x + -1(-6 + x) = 51 -15 + 10x + (-6 * -1 + x * -1) = 51 -15 + 10x + (6 + -1x) = 51 Reorder the terms: -15 + 6 + 10x + -1x = 51 Combine like terms: -15 + 6 = -9 -9 + 10x + -1x = 51 Combine like terms: 10x + -1x = 9x -9 + 9x = 51 Solving -9 + 9x = 51 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 + 9x = 51 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = 51 + 9 9x = 51 + 9 Combine like terms: 51 + 9 = 60 9x = 60 Divide each side by '9'. x = 6.666666667 Simplifying x = 6.666666667
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