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Simplifying 2(9x + 4) = -3x + 14 Reorder the terms: 2(4 + 9x) = -3x + 14 (4 * 2 + 9x * 2) = -3x + 14 (8 + 18x) = -3x + 14 Reorder the terms: 8 + 18x = 14 + -3x Solving 8 + 18x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 18x + 3x = 14 + -3x + 3x Combine like terms: 18x + 3x = 21x 8 + 21x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 21x = 14 + 0 8 + 21x = 14 Add '-8' to each side of the equation. 8 + -8 + 21x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 21x = 14 + -8 21x = 14 + -8 Combine like terms: 14 + -8 = 6 21x = 6 Divide each side by '21'. x = 0.2857142857 Simplifying x = 0.2857142857
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