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Simplifying 6x + 9 = 5(x + -1) + 4 Reorder the terms: 9 + 6x = 5(x + -1) + 4 Reorder the terms: 9 + 6x = 5(-1 + x) + 4 9 + 6x = (-1 * 5 + x * 5) + 4 9 + 6x = (-5 + 5x) + 4 Reorder the terms: 9 + 6x = -5 + 4 + 5x Combine like terms: -5 + 4 = -1 9 + 6x = -1 + 5x Solving 9 + 6x = -1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 6x + -5x = -1 + 5x + -5x Combine like terms: 6x + -5x = 1x 9 + 1x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 1x = -1 + 0 9 + 1x = -1 Add '-9' to each side of the equation. 9 + -9 + 1x = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -1 + -9 1x = -1 + -9 Combine like terms: -1 + -9 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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