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Simplifying 2(x + -3) = 10x + 6 + -2x Reorder the terms: 2(-3 + x) = 10x + 6 + -2x (-3 * 2 + x * 2) = 10x + 6 + -2x (-6 + 2x) = 10x + 6 + -2x Reorder the terms: -6 + 2x = 6 + 10x + -2x Combine like terms: 10x + -2x = 8x -6 + 2x = 6 + 8x Solving -6 + 2x = 6 + 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. -6 + 2x + -8x = 6 + 8x + -8x Combine like terms: 2x + -8x = -6x -6 + -6x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -6x = 6 + 0 -6 + -6x = 6 Add '6' to each side of the equation. -6 + 6 + -6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 6 + 6 -6x = 6 + 6 Combine like terms: 6 + 6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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