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Simplifying -3(-9x + 7) + -3x = 6(x + -4) + -9 Reorder the terms: -3(7 + -9x) + -3x = 6(x + -4) + -9 (7 * -3 + -9x * -3) + -3x = 6(x + -4) + -9 (-21 + 27x) + -3x = 6(x + -4) + -9 Combine like terms: 27x + -3x = 24x -21 + 24x = 6(x + -4) + -9 Reorder the terms: -21 + 24x = 6(-4 + x) + -9 -21 + 24x = (-4 * 6 + x * 6) + -9 -21 + 24x = (-24 + 6x) + -9 Reorder the terms: -21 + 24x = -24 + -9 + 6x Combine like terms: -24 + -9 = -33 -21 + 24x = -33 + 6x Solving -21 + 24x = -33 + 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 + 24x + -6x = -33 + 6x + -6x Combine like terms: 24x + -6x = 18x -21 + 18x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + 18x = -33 + 0 -21 + 18x = -33 Add '21' to each side of the equation. -21 + 21 + 18x = -33 + 21 Combine like terms: -21 + 21 = 0 0 + 18x = -33 + 21 18x = -33 + 21 Combine like terms: -33 + 21 = -12 18x = -12 Divide each side by '18'. x = -0.6666666667 Simplifying x = -0.6666666667
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