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Simplifying 16x + -12 = 5x + 2(x + 12) Reorder the terms: -12 + 16x = 5x + 2(x + 12) Reorder the terms: -12 + 16x = 5x + 2(12 + x) -12 + 16x = 5x + (12 * 2 + x * 2) -12 + 16x = 5x + (24 + 2x) Reorder the terms: -12 + 16x = 24 + 5x + 2x Combine like terms: 5x + 2x = 7x -12 + 16x = 24 + 7x Solving -12 + 16x = 24 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + 16x + -7x = 24 + 7x + -7x Combine like terms: 16x + -7x = 9x -12 + 9x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 9x = 24 + 0 -12 + 9x = 24 Add '12' to each side of the equation. -12 + 12 + 9x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 24 + 12 9x = 24 + 12 Combine like terms: 24 + 12 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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