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Simplifying 3(2x + -3) + -8(6x + 3) = 51 Reorder the terms: 3(-3 + 2x) + -8(6x + 3) = 51 (-3 * 3 + 2x * 3) + -8(6x + 3) = 51 (-9 + 6x) + -8(6x + 3) = 51 Reorder the terms: -9 + 6x + -8(3 + 6x) = 51 -9 + 6x + (3 * -8 + 6x * -8) = 51 -9 + 6x + (-24 + -48x) = 51 Reorder the terms: -9 + -24 + 6x + -48x = 51 Combine like terms: -9 + -24 = -33 -33 + 6x + -48x = 51 Combine like terms: 6x + -48x = -42x -33 + -42x = 51 Solving -33 + -42x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -42x = 51 + 33 Combine like terms: -33 + 33 = 0 0 + -42x = 51 + 33 -42x = 51 + 33 Combine like terms: 51 + 33 = 84 -42x = 84 Divide each side by '-42'. x = -2 Simplifying x = -2
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