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Simplifying 5(x + -5) + -2 = -6(-2x + 7) + -1x Reorder the terms: 5(-5 + x) + -2 = -6(-2x + 7) + -1x (-5 * 5 + x * 5) + -2 = -6(-2x + 7) + -1x (-25 + 5x) + -2 = -6(-2x + 7) + -1x Reorder the terms: -25 + -2 + 5x = -6(-2x + 7) + -1x Combine like terms: -25 + -2 = -27 -27 + 5x = -6(-2x + 7) + -1x Reorder the terms: -27 + 5x = -6(7 + -2x) + -1x -27 + 5x = (7 * -6 + -2x * -6) + -1x -27 + 5x = (-42 + 12x) + -1x Combine like terms: 12x + -1x = 11x -27 + 5x = -42 + 11x Solving -27 + 5x = -42 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -27 + 5x + -11x = -42 + 11x + -11x Combine like terms: 5x + -11x = -6x -27 + -6x = -42 + 11x + -11x Combine like terms: 11x + -11x = 0 -27 + -6x = -42 + 0 -27 + -6x = -42 Add '27' to each side of the equation. -27 + 27 + -6x = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -6x = -42 + 27 -6x = -42 + 27 Combine like terms: -42 + 27 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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