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Simplifying 9(x + -1) + 7(7 + -2x) = -6(x + -6) + 5 Reorder the terms: 9(-1 + x) + 7(7 + -2x) = -6(x + -6) + 5 (-1 * 9 + x * 9) + 7(7 + -2x) = -6(x + -6) + 5 (-9 + 9x) + 7(7 + -2x) = -6(x + -6) + 5 -9 + 9x + (7 * 7 + -2x * 7) = -6(x + -6) + 5 -9 + 9x + (49 + -14x) = -6(x + -6) + 5 Reorder the terms: -9 + 49 + 9x + -14x = -6(x + -6) + 5 Combine like terms: -9 + 49 = 40 40 + 9x + -14x = -6(x + -6) + 5 Combine like terms: 9x + -14x = -5x 40 + -5x = -6(x + -6) + 5 Reorder the terms: 40 + -5x = -6(-6 + x) + 5 40 + -5x = (-6 * -6 + x * -6) + 5 40 + -5x = (36 + -6x) + 5 Reorder the terms: 40 + -5x = 36 + 5 + -6x Combine like terms: 36 + 5 = 41 40 + -5x = 41 + -6x Solving 40 + -5x = 41 + -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. 40 + -5x + 6x = 41 + -6x + 6x Combine like terms: -5x + 6x = 1x 40 + 1x = 41 + -6x + 6x Combine like terms: -6x + 6x = 0 40 + 1x = 41 + 0 40 + 1x = 41 Add '-40' to each side of the equation. 40 + -40 + 1x = 41 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 41 + -40 1x = 41 + -40 Combine like terms: 41 + -40 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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