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Simplifying 7x + 2 = 2(2x + -5) Reorder the terms: 2 + 7x = 2(2x + -5) Reorder the terms: 2 + 7x = 2(-5 + 2x) 2 + 7x = (-5 * 2 + 2x * 2) 2 + 7x = (-10 + 4x) Solving 2 + 7x = -10 + 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 + 7x + -4x = -10 + 4x + -4x Combine like terms: 7x + -4x = 3x 2 + 3x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 3x = -10 + 0 2 + 3x = -10 Add '-2' to each side of the equation. 2 + -2 + 3x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -10 + -2 3x = -10 + -2 Combine like terms: -10 + -2 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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