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Simplifying 2(x + 4) + 3x = -4(3x + 2) + 13 Reorder the terms: 2(4 + x) + 3x = -4(3x + 2) + 13 (4 * 2 + x * 2) + 3x = -4(3x + 2) + 13 (8 + 2x) + 3x = -4(3x + 2) + 13 Combine like terms: 2x + 3x = 5x 8 + 5x = -4(3x + 2) + 13 Reorder the terms: 8 + 5x = -4(2 + 3x) + 13 8 + 5x = (2 * -4 + 3x * -4) + 13 8 + 5x = (-8 + -12x) + 13 Reorder the terms: 8 + 5x = -8 + 13 + -12x Combine like terms: -8 + 13 = 5 8 + 5x = 5 + -12x Solving 8 + 5x = 5 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + 5x + 12x = 5 + -12x + 12x Combine like terms: 5x + 12x = 17x 8 + 17x = 5 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 17x = 5 + 0 8 + 17x = 5 Add '-8' to each side of the equation. 8 + -8 + 17x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 17x = 5 + -8 17x = 5 + -8 Combine like terms: 5 + -8 = -3 17x = -3 Divide each side by '17'. x = -0.1764705882 Simplifying x = -0.1764705882
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