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Simplifying 6x + -2(x + 4) = 2x + 10 Reorder the terms: 6x + -2(4 + x) = 2x + 10 6x + (4 * -2 + x * -2) = 2x + 10 6x + (-8 + -2x) = 2x + 10 Reorder the terms: -8 + 6x + -2x = 2x + 10 Combine like terms: 6x + -2x = 4x -8 + 4x = 2x + 10 Reorder the terms: -8 + 4x = 10 + 2x Solving -8 + 4x = 10 + 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 + 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x -8 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 2x = 10 + 0 -8 + 2x = 10 Add '8' to each side of the equation. -8 + 8 + 2x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 10 + 8 2x = 10 + 8 Combine like terms: 10 + 8 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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