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Simplifying -3(-9x + 7) + -5x = 6(x + -3) + -7 Reorder the terms: -3(7 + -9x) + -5x = 6(x + -3) + -7 (7 * -3 + -9x * -3) + -5x = 6(x + -3) + -7 (-21 + 27x) + -5x = 6(x + -3) + -7 Combine like terms: 27x + -5x = 22x -21 + 22x = 6(x + -3) + -7 Reorder the terms: -21 + 22x = 6(-3 + x) + -7 -21 + 22x = (-3 * 6 + x * 6) + -7 -21 + 22x = (-18 + 6x) + -7 Reorder the terms: -21 + 22x = -18 + -7 + 6x Combine like terms: -18 + -7 = -25 -21 + 22x = -25 + 6x Solving -21 + 22x = -25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + 22x + -6x = -25 + 6x + -6x Combine like terms: 22x + -6x = 16x -21 + 16x = -25 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 16x = -25 + 0 -21 + 16x = -25 Add '21' to each side of the equation. -21 + 21 + 16x = -25 + 21 Combine like terms: -21 + 21 = 0 0 + 16x = -25 + 21 16x = -25 + 21 Combine like terms: -25 + 21 = -4 16x = -4 Divide each side by '16'. x = -0.25 Simplifying x = -0.25
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