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Simplifying 16x + 1 = 3(5x + -2) + 7 Reorder the terms: 1 + 16x = 3(5x + -2) + 7 Reorder the terms: 1 + 16x = 3(-2 + 5x) + 7 1 + 16x = (-2 * 3 + 5x * 3) + 7 1 + 16x = (-6 + 15x) + 7 Reorder the terms: 1 + 16x = -6 + 7 + 15x Combine like terms: -6 + 7 = 1 1 + 16x = 1 + 15x Add '-1' to each side of the equation. 1 + -1 + 16x = 1 + -1 + 15x Combine like terms: 1 + -1 = 0 0 + 16x = 1 + -1 + 15x 16x = 1 + -1 + 15x Combine like terms: 1 + -1 = 0 16x = 0 + 15x 16x = 15x Solving 16x = 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. 16x + -15x = 15x + -15x Combine like terms: 16x + -15x = 1x 1x = 15x + -15x Combine like terms: 15x + -15x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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