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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 = 13x -6 + 13x = 6x + 9 Reorder the terms: -6 + 13x = 9 + 6x Solving -6 + 13x = 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 + 13x + -6x = 9 + 6x + -6x Combine like terms: 13x + -6x = 7x -6 + 7x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 7x = 9 + 0 -6 + 7x = 9 Add '6' to each side of the equation. -6 + 6 + 7x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 9 + 6 7x = 9 + 6 Combine like terms: 9 + 6 = 15 7x = 15 Divide each side by '7'. x = 2.142857143 Simplifying x = 2.142857143
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