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Simplifying -3(-9x + 7) + -5x = 4(x + -7) + -7 Reorder the terms: -3(7 + -9x) + -5x = 4(x + -7) + -7 (7 * -3 + -9x * -3) + -5x = 4(x + -7) + -7 (-21 + 27x) + -5x = 4(x + -7) + -7 Combine like terms: 27x + -5x = 22x -21 + 22x = 4(x + -7) + -7 Reorder the terms: -21 + 22x = 4(-7 + x) + -7 -21 + 22x = (-7 * 4 + x * 4) + -7 -21 + 22x = (-28 + 4x) + -7 Reorder the terms: -21 + 22x = -28 + -7 + 4x Combine like terms: -28 + -7 = -35 -21 + 22x = -35 + 4x Solving -21 + 22x = -35 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 22x + -4x = -35 + 4x + -4x Combine like terms: 22x + -4x = 18x -21 + 18x = -35 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 18x = -35 + 0 -21 + 18x = -35 Add '21' to each side of the equation. -21 + 21 + 18x = -35 + 21 Combine like terms: -21 + 21 = 0 0 + 18x = -35 + 21 18x = -35 + 21 Combine like terms: -35 + 21 = -14 18x = -14 Divide each side by '18'. x = -0.7777777778 Simplifying x = -0.7777777778
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