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Simplifying -5(x + -1) + 9x = 6x + -9 Reorder the terms: -5(-1 + x) + 9x = 6x + -9 (-1 * -5 + x * -5) + 9x = 6x + -9 (5 + -5x) + 9x = 6x + -9 Combine like terms: -5x + 9x = 4x 5 + 4x = 6x + -9 Reorder the terms: 5 + 4x = -9 + 6x Solving 5 + 4x = -9 + 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. 5 + 4x + -6x = -9 + 6x + -6x Combine like terms: 4x + -6x = -2x 5 + -2x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -2x = -9 + 0 5 + -2x = -9 Add '-5' to each side of the equation. 5 + -5 + -2x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -9 + -5 -2x = -9 + -5 Combine like terms: -9 + -5 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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