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Simplifying 2(6x + -7) + -4(5x + -3) = -2(x + 9) Reorder the terms: 2(-7 + 6x) + -4(5x + -3) = -2(x + 9) (-7 * 2 + 6x * 2) + -4(5x + -3) = -2(x + 9) (-14 + 12x) + -4(5x + -3) = -2(x + 9) Reorder the terms: -14 + 12x + -4(-3 + 5x) = -2(x + 9) -14 + 12x + (-3 * -4 + 5x * -4) = -2(x + 9) -14 + 12x + (12 + -20x) = -2(x + 9) Reorder the terms: -14 + 12 + 12x + -20x = -2(x + 9) Combine like terms: -14 + 12 = -2 -2 + 12x + -20x = -2(x + 9) Combine like terms: 12x + -20x = -8x -2 + -8x = -2(x + 9) Reorder the terms: -2 + -8x = -2(9 + x) -2 + -8x = (9 * -2 + x * -2) -2 + -8x = (-18 + -2x) Solving -2 + -8x = -18 + -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. -2 + -8x + 2x = -18 + -2x + 2x Combine like terms: -8x + 2x = -6x -2 + -6x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + -6x = -18 + 0 -2 + -6x = -18 Add '2' to each side of the equation. -2 + 2 + -6x = -18 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -18 + 2 -6x = -18 + 2 Combine like terms: -18 + 2 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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