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Simplifying 2 + 9x = 4(4x + 1) + -2 Reorder the terms: 2 + 9x = 4(1 + 4x) + -2 2 + 9x = (1 * 4 + 4x * 4) + -2 2 + 9x = (4 + 16x) + -2 Reorder the terms: 2 + 9x = 4 + -2 + 16x Combine like terms: 4 + -2 = 2 2 + 9x = 2 + 16x Add '-2' to each side of the equation. 2 + -2 + 9x = 2 + -2 + 16x Combine like terms: 2 + -2 = 0 0 + 9x = 2 + -2 + 16x 9x = 2 + -2 + 16x Combine like terms: 2 + -2 = 0 9x = 0 + 16x 9x = 16x Solving 9x = 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. 9x + -16x = 16x + -16x Combine like terms: 9x + -16x = -7x -7x = 16x + -16x Combine like terms: 16x + -16x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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