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Simplifying 5(2x + -3) + -1x + -6 = 51 Reorder the terms: 5(-3 + 2x) + -1x + -6 = 51 (-3 * 5 + 2x * 5) + -1x + -6 = 51 (-15 + 10x) + -1x + -6 = 51 Reorder the terms: -15 + -6 + 10x + -1x = 51 Combine like terms: -15 + -6 = -21 -21 + 10x + -1x = 51 Combine like terms: 10x + -1x = 9x -21 + 9x = 51 Solving -21 + 9x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 9x = 51 + 21 Combine like terms: -21 + 21 = 0 0 + 9x = 51 + 21 9x = 51 + 21 Combine like terms: 51 + 21 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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