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Simplifying 7x + -10 = -2(x + 6) + 2 Reorder the terms: -10 + 7x = -2(x + 6) + 2 Reorder the terms: -10 + 7x = -2(6 + x) + 2 -10 + 7x = (6 * -2 + x * -2) + 2 -10 + 7x = (-12 + -2x) + 2 Reorder the terms: -10 + 7x = -12 + 2 + -2x Combine like terms: -12 + 2 = -10 -10 + 7x = -10 + -2x Add '10' to each side of the equation. -10 + 10 + 7x = -10 + 10 + -2x Combine like terms: -10 + 10 = 0 0 + 7x = -10 + 10 + -2x 7x = -10 + 10 + -2x Combine like terms: -10 + 10 = 0 7x = 0 + -2x 7x = -2x Solving 7x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7x + 2x = -2x + 2x Combine like terms: 7x + 2x = 9x 9x = -2x + 2x Combine like terms: -2x + 2x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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