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Simplifying 6x + -10 = 2(2x + -7) + -6 Reorder the terms: -10 + 6x = 2(2x + -7) + -6 Reorder the terms: -10 + 6x = 2(-7 + 2x) + -6 -10 + 6x = (-7 * 2 + 2x * 2) + -6 -10 + 6x = (-14 + 4x) + -6 Reorder the terms: -10 + 6x = -14 + -6 + 4x Combine like terms: -14 + -6 = -20 -10 + 6x = -20 + 4x Solving -10 + 6x = -20 + 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. -10 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x -10 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 2x = -20 + 0 -10 + 2x = -20 Add '10' to each side of the equation. -10 + 10 + 2x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -20 + 10 2x = -20 + 10 Combine like terms: -20 + 10 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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