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Simplifying -10(5x + -9) = 6(-9x + -7) Reorder the terms: -10(-9 + 5x) = 6(-9x + -7) (-9 * -10 + 5x * -10) = 6(-9x + -7) (90 + -50x) = 6(-9x + -7) Reorder the terms: 90 + -50x = 6(-7 + -9x) 90 + -50x = (-7 * 6 + -9x * 6) 90 + -50x = (-42 + -54x) Solving 90 + -50x = -42 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. 90 + -50x + 54x = -42 + -54x + 54x Combine like terms: -50x + 54x = 4x 90 + 4x = -42 + -54x + 54x Combine like terms: -54x + 54x = 0 90 + 4x = -42 + 0 90 + 4x = -42 Add '-90' to each side of the equation. 90 + -90 + 4x = -42 + -90 Combine like terms: 90 + -90 = 0 0 + 4x = -42 + -90 4x = -42 + -90 Combine like terms: -42 + -90 = -132 4x = -132 Divide each side by '4'. x = -33 Simplifying x = -33
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