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Simplifying 2(3 + -1x) = 4(2x + 5) + 9 (3 * 2 + -1x * 2) = 4(2x + 5) + 9 (6 + -2x) = 4(2x + 5) + 9 Reorder the terms: 6 + -2x = 4(5 + 2x) + 9 6 + -2x = (5 * 4 + 2x * 4) + 9 6 + -2x = (20 + 8x) + 9 Reorder the terms: 6 + -2x = 20 + 9 + 8x Combine like terms: 20 + 9 = 29 6 + -2x = 29 + 8x Solving 6 + -2x = 29 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6 + -2x + -8x = 29 + 8x + -8x Combine like terms: -2x + -8x = -10x 6 + -10x = 29 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -10x = 29 + 0 6 + -10x = 29 Add '-6' to each side of the equation. 6 + -6 + -10x = 29 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 29 + -6 -10x = 29 + -6 Combine like terms: 29 + -6 = 23 -10x = 23 Divide each side by '-10'. x = -2.3 Simplifying x = -2.3
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