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Simplifying 6(x + -1) + -5 = -3(-9x + 7) + -5x Reorder the terms: 6(-1 + x) + -5 = -3(-9x + 7) + -5x (-1 * 6 + x * 6) + -5 = -3(-9x + 7) + -5x (-6 + 6x) + -5 = -3(-9x + 7) + -5x Reorder the terms: -6 + -5 + 6x = -3(-9x + 7) + -5x Combine like terms: -6 + -5 = -11 -11 + 6x = -3(-9x + 7) + -5x Reorder the terms: -11 + 6x = -3(7 + -9x) + -5x -11 + 6x = (7 * -3 + -9x * -3) + -5x -11 + 6x = (-21 + 27x) + -5x Combine like terms: 27x + -5x = 22x -11 + 6x = -21 + 22x Solving -11 + 6x = -21 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. -11 + 6x + -22x = -21 + 22x + -22x Combine like terms: 6x + -22x = -16x -11 + -16x = -21 + 22x + -22x Combine like terms: 22x + -22x = 0 -11 + -16x = -21 + 0 -11 + -16x = -21 Add '11' to each side of the equation. -11 + 11 + -16x = -21 + 11 Combine like terms: -11 + 11 = 0 0 + -16x = -21 + 11 -16x = -21 + 11 Combine like terms: -21 + 11 = -10 -16x = -10 Divide each side by '-16'. x = 0.625 Simplifying x = 0.625
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