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Simplifying -2x + 5x + -9 = 3(3x + -4) + -10 Reorder the terms: -9 + -2x + 5x = 3(3x + -4) + -10 Combine like terms: -2x + 5x = 3x -9 + 3x = 3(3x + -4) + -10 Reorder the terms: -9 + 3x = 3(-4 + 3x) + -10 -9 + 3x = (-4 * 3 + 3x * 3) + -10 -9 + 3x = (-12 + 9x) + -10 Reorder the terms: -9 + 3x = -12 + -10 + 9x Combine like terms: -12 + -10 = -22 -9 + 3x = -22 + 9x Solving -9 + 3x = -22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -9 + 3x + -9x = -22 + 9x + -9x Combine like terms: 3x + -9x = -6x -9 + -6x = -22 + 9x + -9x Combine like terms: 9x + -9x = 0 -9 + -6x = -22 + 0 -9 + -6x = -22 Add '9' to each side of the equation. -9 + 9 + -6x = -22 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -22 + 9 -6x = -22 + 9 Combine like terms: -22 + 9 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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