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Simplifying 10x + 4(x + -2) = 4(2x + 4) Reorder the terms: 10x + 4(-2 + x) = 4(2x + 4) 10x + (-2 * 4 + x * 4) = 4(2x + 4) 10x + (-8 + 4x) = 4(2x + 4) Reorder the terms: -8 + 10x + 4x = 4(2x + 4) Combine like terms: 10x + 4x = 14x -8 + 14x = 4(2x + 4) Reorder the terms: -8 + 14x = 4(4 + 2x) -8 + 14x = (4 * 4 + 2x * 4) -8 + 14x = (16 + 8x) Solving -8 + 14x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 14x + -8x = 16 + 8x + -8x Combine like terms: 14x + -8x = 6x -8 + 6x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 6x = 16 + 0 -8 + 6x = 16 Add '8' to each side of the equation. -8 + 8 + 6x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 16 + 8 6x = 16 + 8 Combine like terms: 16 + 8 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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