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Simplifying 2(x + -6) + 10 = 2(2x + 7) Reorder the terms: 2(-6 + x) + 10 = 2(2x + 7) (-6 * 2 + x * 2) + 10 = 2(2x + 7) (-12 + 2x) + 10 = 2(2x + 7) Reorder the terms: -12 + 10 + 2x = 2(2x + 7) Combine like terms: -12 + 10 = -2 -2 + 2x = 2(2x + 7) Reorder the terms: -2 + 2x = 2(7 + 2x) -2 + 2x = (7 * 2 + 2x * 2) -2 + 2x = (14 + 4x) Solving -2 + 2x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 2x + -4x = 14 + 4x + -4x Combine like terms: 2x + -4x = -2x -2 + -2x = 14 + 4x + -4x Combine like terms: 4x + -4x = 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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