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Simplifying 10x + -2(x + 3) = 6x + 6 Reorder the terms: 10x + -2(3 + x) = 6x + 6 10x + (3 * -2 + x * -2) = 6x + 6 10x + (-6 + -2x) = 6x + 6 Reorder the terms: -6 + 10x + -2x = 6x + 6 Combine like terms: 10x + -2x = 8x -6 + 8x = 6x + 6 Reorder the terms: -6 + 8x = 6 + 6x Solving -6 + 8x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 8x + -6x = 6 + 6x + -6x Combine like terms: 8x + -6x = 2x -6 + 2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 2x = 6 + 0 -6 + 2x = 6 Add '6' to each side of the equation. -6 + 6 + 2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 6 + 6 2x = 6 + 6 Combine like terms: 6 + 6 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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