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Simplifying -6(2x + 2) + 10 = -10x + 14 Reorder the terms: -6(2 + 2x) + 10 = -10x + 14 (2 * -6 + 2x * -6) + 10 = -10x + 14 (-12 + -12x) + 10 = -10x + 14 Reorder the terms: -12 + 10 + -12x = -10x + 14 Combine like terms: -12 + 10 = -2 -2 + -12x = -10x + 14 Reorder the terms: -2 + -12x = 14 + -10x Solving -2 + -12x = 14 + -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. -2 + -12x + 10x = 14 + -10x + 10x Combine like terms: -12x + 10x = -2x -2 + -2x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + -2x = 14 + 0 -2 + -2x = 14 Add '2' to each side of the equation. -2 + 2 + -2x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 14 + 2 -2x = 14 + 2 Combine like terms: 14 + 2 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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