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Simplifying 10x + 4(x + -2) = 2x + 16 Reorder the terms: 10x + 4(-2 + x) = 2x + 16 10x + (-2 * 4 + x * 4) = 2x + 16 10x + (-8 + 4x) = 2x + 16 Reorder the terms: -8 + 10x + 4x = 2x + 16 Combine like terms: 10x + 4x = 14x -8 + 14x = 2x + 16 Reorder the terms: -8 + 14x = 16 + 2x Solving -8 + 14x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + 14x + -2x = 16 + 2x + -2x Combine like terms: 14x + -2x = 12x -8 + 12x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 12x = 16 + 0 -8 + 12x = 16 Add '8' to each side of the equation. -8 + 8 + 12x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 16 + 8 12x = 16 + 8 Combine like terms: 16 + 8 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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