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Simplifying 3(-4x + 1) + -4x + 3 = 38 Reorder the terms: 3(1 + -4x) + -4x + 3 = 38 (1 * 3 + -4x * 3) + -4x + 3 = 38 (3 + -12x) + -4x + 3 = 38 Reorder the terms: 3 + 3 + -12x + -4x = 38 Combine like terms: 3 + 3 = 6 6 + -12x + -4x = 38 Combine like terms: -12x + -4x = -16x 6 + -16x = 38 Solving 6 + -16x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -16x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = 38 + -6 -16x = 38 + -6 Combine like terms: 38 + -6 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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