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Simplifying 5(x + -9) + 26 = 6(-1x + -5) Reorder the terms: 5(-9 + x) + 26 = 6(-1x + -5) (-9 * 5 + x * 5) + 26 = 6(-1x + -5) (-45 + 5x) + 26 = 6(-1x + -5) Reorder the terms: -45 + 26 + 5x = 6(-1x + -5) Combine like terms: -45 + 26 = -19 -19 + 5x = 6(-1x + -5) Reorder the terms: -19 + 5x = 6(-5 + -1x) -19 + 5x = (-5 * 6 + -1x * 6) -19 + 5x = (-30 + -6x) Solving -19 + 5x = -30 + -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. -19 + 5x + 6x = -30 + -6x + 6x Combine like terms: 5x + 6x = 11x -19 + 11x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 -19 + 11x = -30 + 0 -19 + 11x = -30 Add '19' to each side of the equation. -19 + 19 + 11x = -30 + 19 Combine like terms: -19 + 19 = 0 0 + 11x = -30 + 19 11x = -30 + 19 Combine like terms: -30 + 19 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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