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Simplifying 30 = 4(4x + 1) + 10 Reorder the terms: 30 = 4(1 + 4x) + 10 30 = (1 * 4 + 4x * 4) + 10 30 = (4 + 16x) + 10 Reorder the terms: 30 = 4 + 10 + 16x Combine like terms: 4 + 10 = 14 30 = 14 + 16x Solving 30 = 14 + 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. 30 + -16x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 30 + -16x = 14 + 0 30 + -16x = 14 Add '-30' to each side of the equation. 30 + -30 + -16x = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = 14 + -30 -16x = 14 + -30 Combine like terms: 14 + -30 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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