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Simplifying 6(x + -1) + 2x = 12x + 10 + -2x Reorder the terms: 6(-1 + x) + 2x = 12x + 10 + -2x (-1 * 6 + x * 6) + 2x = 12x + 10 + -2x (-6 + 6x) + 2x = 12x + 10 + -2x Combine like terms: 6x + 2x = 8x -6 + 8x = 12x + 10 + -2x Reorder the terms: -6 + 8x = 10 + 12x + -2x Combine like terms: 12x + -2x = 10x -6 + 8x = 10 + 10x Solving -6 + 8x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 8x + -10x = 10 + 10x + -10x Combine like terms: 8x + -10x = -2x -6 + -2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -2x = 10 + 0 -6 + -2x = 10 Add '6' to each side of the equation. -6 + 6 + -2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 10 + 6 -2x = 10 + 6 Combine like terms: 10 + 6 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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