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Simplifying 16x + -6 = 3(5x + 4) + -6 Reorder the terms: -6 + 16x = 3(5x + 4) + -6 Reorder the terms: -6 + 16x = 3(4 + 5x) + -6 -6 + 16x = (4 * 3 + 5x * 3) + -6 -6 + 16x = (12 + 15x) + -6 Reorder the terms: -6 + 16x = 12 + -6 + 15x Combine like terms: 12 + -6 = 6 -6 + 16x = 6 + 15x Solving -6 + 16x = 6 + 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. -6 + 16x + -15x = 6 + 15x + -15x Combine like terms: 16x + -15x = 1x -6 + 1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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