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Simplifying 16x + 4 = 4(4x + 1) + -1x + 6 Reorder the terms: 4 + 16x = 4(4x + 1) + -1x + 6 Reorder the terms: 4 + 16x = 4(1 + 4x) + -1x + 6 4 + 16x = (1 * 4 + 4x * 4) + -1x + 6 4 + 16x = (4 + 16x) + -1x + 6 Reorder the terms: 4 + 16x = 4 + 6 + 16x + -1x Combine like terms: 4 + 6 = 10 4 + 16x = 10 + 16x + -1x Combine like terms: 16x + -1x = 15x 4 + 16x = 10 + 15x Solving 4 + 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. 4 + 16x + -15x = 10 + 15x + -15x Combine like terms: 16x + -15x = 1x 4 + 1x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + 1x = 10 + 0 4 + 1x = 10 Add '-4' to each side of the equation. 4 + -4 + 1x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 10 + -4 1x = 10 + -4 Combine like terms: 10 + -4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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