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Simplifying 2(3 + -5x) + 6x = 3(x + 4) (3 * 2 + -5x * 2) + 6x = 3(x + 4) (6 + -10x) + 6x = 3(x + 4) Combine like terms: -10x + 6x = -4x 6 + -4x = 3(x + 4) Reorder the terms: 6 + -4x = 3(4 + x) 6 + -4x = (4 * 3 + x * 3) 6 + -4x = (12 + 3x) Solving 6 + -4x = 12 + 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. 6 + -4x + -3x = 12 + 3x + -3x Combine like terms: -4x + -3x = -7x 6 + -7x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -7x = 12 + 0 6 + -7x = 12 Add '-6' to each side of the equation. 6 + -6 + -7x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 12 + -6 -7x = 12 + -6 Combine like terms: 12 + -6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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