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Simplifying -5x + 39 + -5(x + -1) = 6x + -1(2x + -5) + -9x + 9 Reorder the terms: -5x + 39 + -5(-1 + x) = 6x + -1(2x + -5) + -9x + 9 -5x + 39 + (-1 * -5 + x * -5) = 6x + -1(2x + -5) + -9x + 9 -5x + 39 + (5 + -5x) = 6x + -1(2x + -5) + -9x + 9 Reorder the terms: 39 + 5 + -5x + -5x = 6x + -1(2x + -5) + -9x + 9 Combine like terms: 39 + 5 = 44 44 + -5x + -5x = 6x + -1(2x + -5) + -9x + 9 Combine like terms: -5x + -5x = -10x 44 + -10x = 6x + -1(2x + -5) + -9x + 9 Reorder the terms: 44 + -10x = 6x + -1(-5 + 2x) + -9x + 9 44 + -10x = 6x + (-5 * -1 + 2x * -1) + -9x + 9 44 + -10x = 6x + (5 + -2x) + -9x + 9 Reorder the terms: 44 + -10x = 5 + 9 + 6x + -2x + -9x Combine like terms: 5 + 9 = 14 44 + -10x = 14 + 6x + -2x + -9x Combine like terms: 6x + -2x = 4x 44 + -10x = 14 + 4x + -9x Combine like terms: 4x + -9x = -5x 44 + -10x = 14 + -5x Solving 44 + -10x = 14 + -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. 44 + -10x + 5x = 14 + -5x + 5x Combine like terms: -10x + 5x = -5x 44 + -5x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 44 + -5x = 14 + 0 44 + -5x = 14 Add '-44' to each side of the equation. 44 + -44 + -5x = 14 + -44 Combine like terms: 44 + -44 = 0 0 + -5x = 14 + -44 -5x = 14 + -44 Combine like terms: 14 + -44 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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