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Simplifying 5x + -2(4x + -3) = 6x + 9 Reorder the terms: 5x + -2(-3 + 4x) = 6x + 9 5x + (-3 * -2 + 4x * -2) = 6x + 9 5x + (6 + -8x) = 6x + 9 Reorder the terms: 6 + 5x + -8x = 6x + 9 Combine like terms: 5x + -8x = -3x 6 + -3x = 6x + 9 Reorder the terms: 6 + -3x = 9 + 6x Solving 6 + -3x = 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. 6 + -3x + -6x = 9 + 6x + -6x Combine like terms: -3x + -6x = -9x 6 + -9x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -9x = 9 + 0 6 + -9x = 9 Add '-6' to each side of the equation. 6 + -6 + -9x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 9 + -6 -9x = 9 + -6 Combine like terms: 9 + -6 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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