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Simplifying 7x + -1(3x + 6) + 10 = 2x Reorder the terms: 7x + -1(6 + 3x) + 10 = 2x 7x + (6 * -1 + 3x * -1) + 10 = 2x 7x + (-6 + -3x) + 10 = 2x Reorder the terms: -6 + 10 + 7x + -3x = 2x Combine like terms: -6 + 10 = 4 4 + 7x + -3x = 2x Combine like terms: 7x + -3x = 4x 4 + 4x = 2x Solving 4 + 4x = 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. 4 + 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 4 + 2x = 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2x = 0 Add '-4' to each side of the equation. 4 + -4 + 2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 0 + -4 2x = 0 + -4 Combine like terms: 0 + -4 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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