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Simplifying 16x + 1 = 4(4x + 1) + -1x + 6 Reorder the terms: 1 + 16x = 4(4x + 1) + -1x + 6 Reorder the terms: 1 + 16x = 4(1 + 4x) + -1x + 6 1 + 16x = (1 * 4 + 4x * 4) + -1x + 6 1 + 16x = (4 + 16x) + -1x + 6 Reorder the terms: 1 + 16x = 4 + 6 + 16x + -1x Combine like terms: 4 + 6 = 10 1 + 16x = 10 + 16x + -1x Combine like terms: 16x + -1x = 15x 1 + 16x = 10 + 15x Solving 1 + 16x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1 + 16x + -15x = 10 + 15x + -15x Combine like terms: 16x + -15x = 1x 1 + 1x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + 1x = 10 + 0 1 + 1x = 10 Add '-1' to each side of the equation. 1 + -1 + 1x = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 10 + -1 1x = 10 + -1 Combine like terms: 10 + -1 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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