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Simplifying (6) + -1(2x + 3) = 9(x + -1) + -5x 6 + -1(2x + 3) = 9(x + -1) + -5x Reorder the terms: 6 + -1(3 + 2x) = 9(x + -1) + -5x 6 + (3 * -1 + 2x * -1) = 9(x + -1) + -5x 6 + (-3 + -2x) = 9(x + -1) + -5x Combine like terms: 6 + -3 = 3 3 + -2x = 9(x + -1) + -5x Reorder the terms: 3 + -2x = 9(-1 + x) + -5x 3 + -2x = (-1 * 9 + x * 9) + -5x 3 + -2x = (-9 + 9x) + -5x Combine like terms: 9x + -5x = 4x 3 + -2x = -9 + 4x Solving 3 + -2x = -9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -2x + -4x = -9 + 4x + -4x Combine like terms: -2x + -4x = -6x 3 + -6x = -9 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -6x = -9 + 0 3 + -6x = -9 Add '-3' to each side of the equation. 3 + -3 + -6x = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -9 + -3 -6x = -9 + -3 Combine like terms: -9 + -3 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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