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Simplifying 38 + -7x = 3(6 + -4x) 38 + -7x = (6 * 3 + -4x * 3) 38 + -7x = (18 + -12x) Solving 38 + -7x = 18 + -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. 38 + -7x + 12x = 18 + -12x + 12x Combine like terms: -7x + 12x = 5x 38 + 5x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 38 + 5x = 18 + 0 38 + 5x = 18 Add '-38' to each side of the equation. 38 + -38 + 5x = 18 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = 18 + -38 5x = 18 + -38 Combine like terms: 18 + -38 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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