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Simplifying 6x + -2(x + 6) = 4x + 10 + -2x Reorder the terms: 6x + -2(6 + x) = 4x + 10 + -2x 6x + (6 * -2 + x * -2) = 4x + 10 + -2x 6x + (-12 + -2x) = 4x + 10 + -2x Reorder the terms: -12 + 6x + -2x = 4x + 10 + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 4x + 10 + -2x Reorder the terms: -12 + 4x = 10 + 4x + -2x Combine like terms: 4x + -2x = 2x -12 + 4x = 10 + 2x Solving -12 + 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. -12 + 4x + -2x = 10 + 2x + -2x Combine like terms: 4x + -2x = 2x -12 + 2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 2x = 10 + 0 -12 + 2x = 10 Add '12' to each side of the equation. -12 + 12 + 2x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 10 + 12 2x = 10 + 12 Combine like terms: 10 + 12 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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