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Simplifying 6(7x + 5 + -8x + -9) + -3(2x + -7) = 2x + -3 Reorder the terms: 6(5 + -9 + 7x + -8x) + -3(2x + -7) = 2x + -3 Combine like terms: 5 + -9 = -4 6(-4 + 7x + -8x) + -3(2x + -7) = 2x + -3 Combine like terms: 7x + -8x = -1x 6(-4 + -1x) + -3(2x + -7) = 2x + -3 (-4 * 6 + -1x * 6) + -3(2x + -7) = 2x + -3 (-24 + -6x) + -3(2x + -7) = 2x + -3 Reorder the terms: -24 + -6x + -3(-7 + 2x) = 2x + -3 -24 + -6x + (-7 * -3 + 2x * -3) = 2x + -3 -24 + -6x + (21 + -6x) = 2x + -3 Reorder the terms: -24 + 21 + -6x + -6x = 2x + -3 Combine like terms: -24 + 21 = -3 -3 + -6x + -6x = 2x + -3 Combine like terms: -6x + -6x = -12x -3 + -12x = 2x + -3 Reorder the terms: -3 + -12x = -3 + 2x Add '3' to each side of the equation. -3 + 3 + -12x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 0 + -12x = -3 + 3 + 2x -12x = -3 + 3 + 2x Combine like terms: -3 + 3 = 0 -12x = 0 + 2x -12x = 2x Solving -12x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12x + -2x = 2x + -2x Combine like terms: -12x + -2x = -14x -14x = 2x + -2x Combine like terms: 2x + -2x = 0 -14x = 0 Divide each side by '-14'. x = 0 Simplifying x = 0
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