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Simplifying 6x + -1(3x + 6) = 2x + 10 Reorder the terms: 6x + -1(6 + 3x) = 2x + 10 6x + (6 * -1 + 3x * -1) = 2x + 10 6x + (-6 + -3x) = 2x + 10 Reorder the terms: -6 + 6x + -3x = 2x + 10 Combine like terms: 6x + -3x = 3x -6 + 3x = 2x + 10 Reorder the terms: -6 + 3x = 10 + 2x Solving -6 + 3x = 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. -6 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = 10 + 0 -6 + 1x = 10 Add '6' to each side of the equation. -6 + 6 + 1x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 10 + 6 1x = 10 + 6 Combine like terms: 10 + 6 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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