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