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Simplifying 3(x + -1) + -2 = -7(-2x + 3) + -5x Reorder the terms: 3(-1 + x) + -2 = -7(-2x + 3) + -5x (-1 * 3 + x * 3) + -2 = -7(-2x + 3) + -5x (-3 + 3x) + -2 = -7(-2x + 3) + -5x Reorder the terms: -3 + -2 + 3x = -7(-2x + 3) + -5x Combine like terms: -3 + -2 = -5 -5 + 3x = -7(-2x + 3) + -5x Reorder the terms: -5 + 3x = -7(3 + -2x) + -5x -5 + 3x = (3 * -7 + -2x * -7) + -5x -5 + 3x = (-21 + 14x) + -5x Combine like terms: 14x + -5x = 9x -5 + 3x = -21 + 9x Solving -5 + 3x = -21 + 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. -5 + 3x + -9x = -21 + 9x + -9x Combine like terms: 3x + -9x = -6x -5 + -6x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -6x = -21 + 0 -5 + -6x = -21 Add '5' to each side of the equation. -5 + 5 + -6x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -21 + 5 -6x = -21 + 5 Combine like terms: -21 + 5 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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