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Simplifying -5(-5x + 9) + -1x = 6(x + -9) + -7 Reorder the terms: -5(9 + -5x) + -1x = 6(x + -9) + -7 (9 * -5 + -5x * -5) + -1x = 6(x + -9) + -7 (-45 + 25x) + -1x = 6(x + -9) + -7 Combine like terms: 25x + -1x = 24x -45 + 24x = 6(x + -9) + -7 Reorder the terms: -45 + 24x = 6(-9 + x) + -7 -45 + 24x = (-9 * 6 + x * 6) + -7 -45 + 24x = (-54 + 6x) + -7 Reorder the terms: -45 + 24x = -54 + -7 + 6x Combine like terms: -54 + -7 = -61 -45 + 24x = -61 + 6x Solving -45 + 24x = -61 + 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. -45 + 24x + -6x = -61 + 6x + -6x Combine like terms: 24x + -6x = 18x -45 + 18x = -61 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 18x = -61 + 0 -45 + 18x = -61 Add '45' to each side of the equation. -45 + 45 + 18x = -61 + 45 Combine like terms: -45 + 45 = 0 0 + 18x = -61 + 45 18x = -61 + 45 Combine like terms: -61 + 45 = -16 18x = -16 Divide each side by '18'. x = -0.8888888889 Simplifying x = -0.8888888889
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