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Simplifying 16x + 2(3x + -4) = 7x + 22 Reorder the terms: 16x + 2(-4 + 3x) = 7x + 22 16x + (-4 * 2 + 3x * 2) = 7x + 22 16x + (-8 + 6x) = 7x + 22 Reorder the terms: -8 + 16x + 6x = 7x + 22 Combine like terms: 16x + 6x = 22x -8 + 22x = 7x + 22 Reorder the terms: -8 + 22x = 22 + 7x Solving -8 + 22x = 22 + 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. -8 + 22x + -7x = 22 + 7x + -7x Combine like terms: 22x + -7x = 15x -8 + 15x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + 15x = 22 + 0 -8 + 15x = 22 Add '8' to each side of the equation. -8 + 8 + 15x = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 22 + 8 15x = 22 + 8 Combine like terms: 22 + 8 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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